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Finding the Third Proportional to 112,856 and 252,448

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Solution

The third proportional to 112,856 and 252,448 is: 564,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,856 : 252,448 = 252,448 : x
  2. Step 2: Convert to fraction form
    112,856/252,448 = 252,448/x
  3. Step 3: Cross multiply
    112,856x = 252,448 × 252,448
  4. Step 4: Simplify right side
    112,856x = 63,729,992,704
  5. Step 5: Solve for x
    x = 63,729,992,704/112,856
  6. Step 6: Final answer
    x = 564,701.86

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.