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Finding the Third Proportional to 80,296.31 and 112,787.44

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Solution

The third proportional to 80,296.31 and 112,787.44 is: 158,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,296.31 : 112,787.44 = 112,787.44 : x
  2. Step 2: Convert to fraction form
    80,296.31/112,787.44 = 112,787.44/x
  3. Step 3: Cross multiply
    80,296.31x = 112,787.44 × 112,787.44
  4. Step 4: Simplify right side
    80,296.31x = 12,721,006,057.82
  5. Step 5: Solve for x
    x = 12,721,006,057.82/80,296.31
  6. Step 6: Final answer
    x = 158,425.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.