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Finding the Third Proportional to 431,517.25 and 647,276

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Solution

The third proportional to 431,517.25 and 647,276 is: 970,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,517.25 : 647,276 = 647,276 : x
  2. Step 2: Convert to fraction form
    431,517.25/647,276 = 647,276/x
  3. Step 3: Cross multiply
    431,517.25x = 647,276 × 647,276
  4. Step 4: Simplify right side
    431,517.25x = 418,966,220,176
  5. Step 5: Solve for x
    x = 418,966,220,176/431,517.25
  6. Step 6: Final answer
    x = 970,914.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.