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Finding the Third Proportional to 386,304 and 614,688

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Solution

The third proportional to 386,304 and 614,688 is: 978,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,304 : 614,688 = 614,688 : x
  2. Step 2: Convert to fraction form
    386,304/614,688 = 614,688/x
  3. Step 3: Cross multiply
    386,304x = 614,688 × 614,688
  4. Step 4: Simplify right side
    386,304x = 377,841,337,344
  5. Step 5: Solve for x
    x = 377,841,337,344/386,304
  6. Step 6: Final answer
    x = 978,093.26

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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.