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Finding the Third Proportional to 39,512 and 86,402

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Solution

The third proportional to 39,512 and 86,402 is: 188,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512 : 86,402 = 86,402 : x
  2. Step 2: Convert to fraction form
    39,512/86,402 = 86,402/x
  3. Step 3: Cross multiply
    39,512x = 86,402 × 86,402
  4. Step 4: Simplify right side
    39,512x = 7,465,305,604
  5. Step 5: Solve for x
    x = 7,465,305,604/39,512
  6. Step 6: Final answer
    x = 188,937.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.