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Finding the Third Proportional to 435,400 and 672,517

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Solution

The third proportional to 435,400 and 672,517 is: 1,038,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,400 : 672,517 = 672,517 : x
  2. Step 2: Convert to fraction form
    435,400/672,517 = 672,517/x
  3. Step 3: Cross multiply
    435,400x = 672,517 × 672,517
  4. Step 4: Simplify right side
    435,400x = 452,279,115,289
  5. Step 5: Solve for x
    x = 452,279,115,289/435,400
  6. Step 6: Final answer
    x = 1,038,766.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.