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Finding the Third Proportional to 284,127 and 431,374

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Solution

The third proportional to 284,127 and 431,374 is: 654,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,127 : 431,374 = 431,374 : x
  2. Step 2: Convert to fraction form
    284,127/431,374 = 431,374/x
  3. Step 3: Cross multiply
    284,127x = 431,374 × 431,374
  4. Step 4: Simplify right side
    284,127x = 186,083,527,876
  5. Step 5: Solve for x
    x = 186,083,527,876/284,127
  6. Step 6: Final answer
    x = 654,930.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.