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Finding the Third Proportional to 15,876 and 34,486

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Solution

The third proportional to 15,876 and 34,486 is: 74,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 34,486 = 34,486 : x
  2. Step 2: Convert to fraction form
    15,876/34,486 = 34,486/x
  3. Step 3: Cross multiply
    15,876x = 34,486 × 34,486
  4. Step 4: Simplify right side
    15,876x = 1,189,284,196
  5. Step 5: Solve for x
    x = 1,189,284,196/15,876
  6. Step 6: Final answer
    x = 74,910.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.