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Finding the Third Proportional to 88,876 and 141,342

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Solution

The third proportional to 88,876 and 141,342 is: 224,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,876 : 141,342 = 141,342 : x
  2. Step 2: Convert to fraction form
    88,876/141,342 = 141,342/x
  3. Step 3: Cross multiply
    88,876x = 141,342 × 141,342
  4. Step 4: Simplify right side
    88,876x = 19,977,560,964
  5. Step 5: Solve for x
    x = 19,977,560,964/88,876
  6. Step 6: Final answer
    x = 224,780.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.