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Finding the Third Proportional to 21,998 and 34,957

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Solution

The third proportional to 21,998 and 34,957 is: 55,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998 : 34,957 = 34,957 : x
  2. Step 2: Convert to fraction form
    21,998/34,957 = 34,957/x
  3. Step 3: Cross multiply
    21,998x = 34,957 × 34,957
  4. Step 4: Simplify right side
    21,998x = 1,221,991,849
  5. Step 5: Solve for x
    x = 1,221,991,849/21,998
  6. Step 6: Final answer
    x = 55,550.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.