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Finding the Third Proportional to 56,384 and 84,402

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Solution

The third proportional to 56,384 and 84,402 is: 126,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384 : 84,402 = 84,402 : x
  2. Step 2: Convert to fraction form
    56,384/84,402 = 84,402/x
  3. Step 3: Cross multiply
    56,384x = 84,402 × 84,402
  4. Step 4: Simplify right side
    56,384x = 7,123,697,604
  5. Step 5: Solve for x
    x = 7,123,697,604/56,384
  6. Step 6: Final answer
    x = 126,342.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.