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Finding the Third Proportional to 721,170 and 1,542,396

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Solution

The third proportional to 721,170 and 1,542,396 is: 3,298,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,170 : 1,542,396 = 1,542,396 : x
  2. Step 2: Convert to fraction form
    721,170/1,542,396 = 1,542,396/x
  3. Step 3: Cross multiply
    721,170x = 1,542,396 × 1,542,396
  4. Step 4: Simplify right side
    721,170x = 2,378,985,420,816
  5. Step 5: Solve for x
    x = 2,378,985,420,816/721,170
  6. Step 6: Final answer
    x = 3,298,785.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.