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Finding the Third Proportional to 39,397 and 85,109

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Solution

The third proportional to 39,397 and 85,109 is: 183,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,397 : 85,109 = 85,109 : x
  2. Step 2: Convert to fraction form
    39,397/85,109 = 85,109/x
  3. Step 3: Cross multiply
    39,397x = 85,109 × 85,109
  4. Step 4: Simplify right side
    39,397x = 7,243,541,881
  5. Step 5: Solve for x
    x = 7,243,541,881/39,397
  6. Step 6: Final answer
    x = 183,860.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.