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Finding the Third Proportional to 331,518 and 508,725

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Solution

The third proportional to 331,518 and 508,725 is: 780,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,518 : 508,725 = 508,725 : x
  2. Step 2: Convert to fraction form
    331,518/508,725 = 508,725/x
  3. Step 3: Cross multiply
    331,518x = 508,725 × 508,725
  4. Step 4: Simplify right side
    331,518x = 258,801,125,625
  5. Step 5: Solve for x
    x = 258,801,125,625/331,518
  6. Step 6: Final answer
    x = 780,654.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.