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Finding the Third Proportional to 285,750 and 431,217

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Solution

The third proportional to 285,750 and 431,217 is: 650,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,750 : 431,217 = 431,217 : x
  2. Step 2: Convert to fraction form
    285,750/431,217 = 431,217/x
  3. Step 3: Cross multiply
    285,750x = 431,217 × 431,217
  4. Step 4: Simplify right side
    285,750x = 185,948,101,089
  5. Step 5: Solve for x
    x = 185,948,101,089/285,750
  6. Step 6: Final answer
    x = 650,737.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.