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Finding the Third Proportional to 39,286 and 85,402

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Solution

The third proportional to 39,286 and 85,402 is: 185,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,286 : 85,402 = 85,402 : x
  2. Step 2: Convert to fraction form
    39,286/85,402 = 85,402/x
  3. Step 3: Cross multiply
    39,286x = 85,402 × 85,402
  4. Step 4: Simplify right side
    39,286x = 7,293,501,604
  5. Step 5: Solve for x
    x = 7,293,501,604/39,286
  6. Step 6: Final answer
    x = 185,651.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.