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Finding the Third Proportional to 331,753 and 500,378

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Solution

The third proportional to 331,753 and 500,378 is: 754,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,753 : 500,378 = 500,378 : x
  2. Step 2: Convert to fraction form
    331,753/500,378 = 500,378/x
  3. Step 3: Cross multiply
    331,753x = 500,378 × 500,378
  4. Step 4: Simplify right side
    331,753x = 250,378,142,884
  5. Step 5: Solve for x
    x = 250,378,142,884/331,753
  6. Step 6: Final answer
    x = 754,712.52

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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.