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Finding the Third Proportional to 56,387 and 84,406

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Solution

The third proportional to 56,387 and 84,406 is: 126,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387 : 84,406 = 84,406 : x
  2. Step 2: Convert to fraction form
    56,387/84,406 = 84,406/x
  3. Step 3: Cross multiply
    56,387x = 84,406 × 84,406
  4. Step 4: Simplify right side
    56,387x = 7,124,372,836
  5. Step 5: Solve for x
    x = 7,124,372,836/56,387
  6. Step 6: Final answer
    x = 126,347.79

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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.