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Finding the Third Proportional to 86,463 and 129,695

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Solution

The third proportional to 86,463 and 129,695 is: 194,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,463 : 129,695 = 129,695 : x
  2. Step 2: Convert to fraction form
    86,463/129,695 = 129,695/x
  3. Step 3: Cross multiply
    86,463x = 129,695 × 129,695
  4. Step 4: Simplify right side
    86,463x = 16,820,793,025
  5. Step 5: Solve for x
    x = 16,820,793,025/86,463
  6. Step 6: Final answer
    x = 194,543.25

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