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Finding the Third Proportional to 721,134 and 1,538,787.88

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Solution

The third proportional to 721,134 and 1,538,787.88 is: 3,283,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,134 : 1,538,787.88 = 1,538,787.88 : x
  2. Step 2: Convert to fraction form
    721,134/1,538,787.88 = 1,538,787.88/x
  3. Step 3: Cross multiply
    721,134x = 1,538,787.88 × 1,538,787.88
  4. Step 4: Simplify right side
    721,134x = 2,367,868,124,247.02
  5. Step 5: Solve for x
    x = 2,367,868,124,247.02/721,134
  6. Step 6: Final answer
    x = 3,283,534.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.