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Finding the Third Proportional to 277,882 and 430,552

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Solution

The third proportional to 277,882 and 430,552 is: 667,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,882 : 430,552 = 430,552 : x
  2. Step 2: Convert to fraction form
    277,882/430,552 = 430,552/x
  3. Step 3: Cross multiply
    277,882x = 430,552 × 430,552
  4. Step 4: Simplify right side
    277,882x = 185,375,024,704
  5. Step 5: Solve for x
    x = 185,375,024,704/277,882
  6. Step 6: Final answer
    x = 667,099.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.