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Finding the Third Proportional to 252,548 and 420,861

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Solution

The third proportional to 252,548 and 420,861 is: 701,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,548 : 420,861 = 420,861 : x
  2. Step 2: Convert to fraction form
    252,548/420,861 = 420,861/x
  3. Step 3: Cross multiply
    252,548x = 420,861 × 420,861
  4. Step 4: Simplify right side
    252,548x = 177,123,981,321
  5. Step 5: Solve for x
    x = 177,123,981,321/252,548
  6. Step 6: Final answer
    x = 701,347.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.