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Finding the Third Proportional to 721,380 and 1,125,741

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Solution

The third proportional to 721,380 and 1,125,741 is: 1,756,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,380 : 1,125,741 = 1,125,741 : x
  2. Step 2: Convert to fraction form
    721,380/1,125,741 = 1,125,741/x
  3. Step 3: Cross multiply
    721,380x = 1,125,741 × 1,125,741
  4. Step 4: Simplify right side
    721,380x = 1,267,292,799,081
  5. Step 5: Solve for x
    x = 1,267,292,799,081/721,380
  6. Step 6: Final answer
    x = 1,756,761.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.