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Finding the Third Proportional to 386,330 and 614,727

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Solution

The third proportional to 386,330 and 614,727 is: 978,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,330 : 614,727 = 614,727 : x
  2. Step 2: Convert to fraction form
    386,330/614,727 = 614,727/x
  3. Step 3: Cross multiply
    386,330x = 614,727 × 614,727
  4. Step 4: Simplify right side
    386,330x = 377,889,284,529
  5. Step 5: Solve for x
    x = 377,889,284,529/386,330
  6. Step 6: Final answer
    x = 978,151.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.