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Finding the Third Proportional to 288,272 and 431,256

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Solution

The third proportional to 288,272 and 431,256 is: 645,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,272 : 431,256 = 431,256 : x
  2. Step 2: Convert to fraction form
    288,272/431,256 = 431,256/x
  3. Step 3: Cross multiply
    288,272x = 431,256 × 431,256
  4. Step 4: Simplify right side
    288,272x = 185,981,737,536
  5. Step 5: Solve for x
    x = 185,981,737,536/288,272
  6. Step 6: Final answer
    x = 645,160.60

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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.