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Finding the Third Proportional to 39,806 and 83,931

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Solution

The third proportional to 39,806 and 83,931 is: 176,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,806 : 83,931 = 83,931 : x
  2. Step 2: Convert to fraction form
    39,806/83,931 = 83,931/x
  3. Step 3: Cross multiply
    39,806x = 83,931 × 83,931
  4. Step 4: Simplify right side
    39,806x = 7,044,412,761
  5. Step 5: Solve for x
    x = 7,044,412,761/39,806
  6. Step 6: Final answer
    x = 176,968.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.