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Finding the Third Proportional to 112,788 and 158,691

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Solution

The third proportional to 112,788 and 158,691 is: 223,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,788 : 158,691 = 158,691 : x
  2. Step 2: Convert to fraction form
    112,788/158,691 = 158,691/x
  3. Step 3: Cross multiply
    112,788x = 158,691 × 158,691
  4. Step 4: Simplify right side
    112,788x = 25,182,833,481
  5. Step 5: Solve for x
    x = 25,182,833,481/112,788
  6. Step 6: Final answer
    x = 223,275.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.