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Finding the Third Proportional to 252,281 and 420,452.75

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Solution

The third proportional to 252,281 and 420,452.75 is: 700,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,281 : 420,452.75 = 420,452.75 : x
  2. Step 2: Convert to fraction form
    252,281/420,452.75 = 420,452.75/x
  3. Step 3: Cross multiply
    252,281x = 420,452.75 × 420,452.75
  4. Step 4: Simplify right side
    252,281x = 176,780,514,982.56
  5. Step 5: Solve for x
    x = 176,780,514,982.56/252,281
  6. Step 6: Final answer
    x = 700,728.61

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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.