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Finding the Third Proportional to 498,122 and 752,367

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Solution

The third proportional to 498,122 and 752,367 is: 1,136,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,122 : 752,367 = 752,367 : x
  2. Step 2: Convert to fraction form
    498,122/752,367 = 752,367/x
  3. Step 3: Cross multiply
    498,122x = 752,367 × 752,367
  4. Step 4: Simplify right side
    498,122x = 566,056,102,689
  5. Step 5: Solve for x
    x = 566,056,102,689/498,122
  6. Step 6: Final answer
    x = 1,136,380.45

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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.