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Finding the Third Proportional to 86,463 and 129,145.50

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Solution

The third proportional to 86,463 and 129,145.50 is: 192,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,463 : 129,145.50 = 129,145.50 : x
  2. Step 2: Convert to fraction form
    86,463/129,145.50 = 129,145.50/x
  3. Step 3: Cross multiply
    86,463x = 129,145.50 × 129,145.50
  4. Step 4: Simplify right side
    86,463x = 16,678,560,170.25
  5. Step 5: Solve for x
    x = 16,678,560,170.25/86,463
  6. Step 6: Final answer
    x = 192,898.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.