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Finding the Third Proportional to 331,514 and 508,719

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Solution

The third proportional to 331,514 and 508,719 is: 780,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,514 : 508,719 = 508,719 : x
  2. Step 2: Convert to fraction form
    331,514/508,719 = 508,719/x
  3. Step 3: Cross multiply
    331,514x = 508,719 × 508,719
  4. Step 4: Simplify right side
    331,514x = 258,795,020,961
  5. Step 5: Solve for x
    x = 258,795,020,961/331,514
  6. Step 6: Final answer
    x = 780,645.83

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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.