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Finding the Third Proportional to 51,422 and 112,691

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Solution

The third proportional to 51,422 and 112,691 is: 246,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,422 : 112,691 = 112,691 : x
  2. Step 2: Convert to fraction form
    51,422/112,691 = 112,691/x
  3. Step 3: Cross multiply
    51,422x = 112,691 × 112,691
  4. Step 4: Simplify right side
    51,422x = 12,699,261,481
  5. Step 5: Solve for x
    x = 12,699,261,481/51,422
  6. Step 6: Final answer
    x = 246,961.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.