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Finding the Third Proportional to 19,998 and 40,913

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Solution

The third proportional to 19,998 and 40,913 is: 83,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,998 : 40,913 = 40,913 : x
  2. Step 2: Convert to fraction form
    19,998/40,913 = 40,913/x
  3. Step 3: Cross multiply
    19,998x = 40,913 × 40,913
  4. Step 4: Simplify right side
    19,998x = 1,673,873,569
  5. Step 5: Solve for x
    x = 1,673,873,569/19,998
  6. Step 6: Final answer
    x = 83,702.05

Related Problems

Find third proportional to 9,999 and 20,456.50
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.