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Finding the Third Proportional to 344,682 and 517,387

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Solution

The third proportional to 344,682 and 517,387 is: 776,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,682 : 517,387 = 517,387 : x
  2. Step 2: Convert to fraction form
    344,682/517,387 = 517,387/x
  3. Step 3: Cross multiply
    344,682x = 517,387 × 517,387
  4. Step 4: Simplify right side
    344,682x = 267,689,307,769
  5. Step 5: Solve for x
    x = 267,689,307,769/344,682
  6. Step 6: Final answer
    x = 776,626.88

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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.