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Finding the Third Proportional to 86,811.75 and 130,449

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Solution

The third proportional to 86,811.75 and 130,449 is: 196,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,811.75 : 130,449 = 130,449 : x
  2. Step 2: Convert to fraction form
    86,811.75/130,449 = 130,449/x
  3. Step 3: Cross multiply
    86,811.75x = 130,449 × 130,449
  4. Step 4: Simplify right side
    86,811.75x = 17,016,941,601
  5. Step 5: Solve for x
    x = 17,016,941,601/86,811.75
  6. Step 6: Final answer
    x = 196,021.18

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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.