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Finding the Third Proportional to 84,889 and 129,179

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Solution

The third proportional to 84,889 and 129,179 is: 196,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,889 : 129,179 = 129,179 : x
  2. Step 2: Convert to fraction form
    84,889/129,179 = 129,179/x
  3. Step 3: Cross multiply
    84,889x = 129,179 × 129,179
  4. Step 4: Simplify right side
    84,889x = 16,687,214,041
  5. Step 5: Solve for x
    x = 16,687,214,041/84,889
  6. Step 6: Final answer
    x = 196,576.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.