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Finding the Third Proportional to 86,459 and 129,689

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Solution

The third proportional to 86,459 and 129,689 is: 194,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,459 : 129,689 = 129,689 : x
  2. Step 2: Convert to fraction form
    86,459/129,689 = 129,689/x
  3. Step 3: Cross multiply
    86,459x = 129,689 × 129,689
  4. Step 4: Simplify right side
    86,459x = 16,819,236,721
  5. Step 5: Solve for x
    x = 16,819,236,721/86,459
  6. Step 6: Final answer
    x = 194,534.25

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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.