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Finding the Third Proportional to 252,542 and 420,851

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Solution

The third proportional to 252,542 and 420,851 is: 701,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,542 : 420,851 = 420,851 : x
  2. Step 2: Convert to fraction form
    252,542/420,851 = 420,851/x
  3. Step 3: Cross multiply
    252,542x = 420,851 × 420,851
  4. Step 4: Simplify right side
    252,542x = 177,115,564,201
  5. Step 5: Solve for x
    x = 177,115,564,201/252,542
  6. Step 6: Final answer
    x = 701,331.12

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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.