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Finding the Third Proportional to 399,068 and 586,932

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Solution

The third proportional to 399,068 and 586,932 is: 863,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,068 : 586,932 = 586,932 : x
  2. Step 2: Convert to fraction form
    399,068/586,932 = 586,932/x
  3. Step 3: Cross multiply
    399,068x = 586,932 × 586,932
  4. Step 4: Simplify right side
    399,068x = 344,489,172,624
  5. Step 5: Solve for x
    x = 344,489,172,624/399,068
  6. Step 6: Final answer
    x = 863,234.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.