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Finding the Third Proportional to 39,665 and 61,382

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Solution

The third proportional to 39,665 and 61,382 is: 94,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,665 : 61,382 = 61,382 : x
  2. Step 2: Convert to fraction form
    39,665/61,382 = 61,382/x
  3. Step 3: Cross multiply
    39,665x = 61,382 × 61,382
  4. Step 4: Simplify right side
    39,665x = 3,767,749,924
  5. Step 5: Solve for x
    x = 3,767,749,924/39,665
  6. Step 6: Final answer
    x = 94,989.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.