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Finding the Third Proportional to 327,780 and 500,418

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Solution

The third proportional to 327,780 and 500,418 is: 763,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,780 : 500,418 = 500,418 : x
  2. Step 2: Convert to fraction form
    327,780/500,418 = 500,418/x
  3. Step 3: Cross multiply
    327,780x = 500,418 × 500,418
  4. Step 4: Simplify right side
    327,780x = 250,418,174,724
  5. Step 5: Solve for x
    x = 250,418,174,724/327,780
  6. Step 6: Final answer
    x = 763,982.47

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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.