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Finding the Third Proportional to 721,450 and 1,121,471

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Solution

The third proportional to 721,450 and 1,121,471 is: 1,743,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,450 : 1,121,471 = 1,121,471 : x
  2. Step 2: Convert to fraction form
    721,450/1,121,471 = 1,121,471/x
  3. Step 3: Cross multiply
    721,450x = 1,121,471 × 1,121,471
  4. Step 4: Simplify right side
    721,450x = 1,257,697,203,841
  5. Step 5: Solve for x
    x = 1,257,697,203,841/721,450
  6. Step 6: Final answer
    x = 1,743,290.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.