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Finding the Third Proportional to 71,566 and 121,949

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Solution

The third proportional to 71,566 and 121,949 is: 207,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566 : 121,949 = 121,949 : x
  2. Step 2: Convert to fraction form
    71,566/121,949 = 121,949/x
  3. Step 3: Cross multiply
    71,566x = 121,949 × 121,949
  4. Step 4: Simplify right side
    71,566x = 14,871,558,601
  5. Step 5: Solve for x
    x = 14,871,558,601/71,566
  6. Step 6: Final answer
    x = 207,802.01

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.