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Finding the Third Proportional to 252,292 and 420,471

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Solution

The third proportional to 252,292 and 420,471 is: 700,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,292 : 420,471 = 420,471 : x
  2. Step 2: Convert to fraction form
    252,292/420,471 = 420,471/x
  3. Step 3: Cross multiply
    252,292x = 420,471 × 420,471
  4. Step 4: Simplify right side
    252,292x = 176,795,861,841
  5. Step 5: Solve for x
    x = 176,795,861,841/252,292
  6. Step 6: Final answer
    x = 700,758.89

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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.