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Finding the Third Proportional to 86,585 and 129,881

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Solution

The third proportional to 86,585 and 129,881 is: 194,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585 : 129,881 = 129,881 : x
  2. Step 2: Convert to fraction form
    86,585/129,881 = 129,881/x
  3. Step 3: Cross multiply
    86,585x = 129,881 × 129,881
  4. Step 4: Simplify right side
    86,585x = 16,869,074,161
  5. Step 5: Solve for x
    x = 16,869,074,161/86,585
  6. Step 6: Final answer
    x = 194,826.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.