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Finding the Third Proportional to 19,998 and 40,414

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Solution

The third proportional to 19,998 and 40,414 is: 81,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,998 : 40,414 = 40,414 : x
  2. Step 2: Convert to fraction form
    19,998/40,414 = 40,414/x
  3. Step 3: Cross multiply
    19,998x = 40,414 × 40,414
  4. Step 4: Simplify right side
    19,998x = 1,633,291,396
  5. Step 5: Solve for x
    x = 1,633,291,396/19,998
  6. Step 6: Final answer
    x = 81,672.74

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.