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Finding the Third Proportional to 86,128.31 and 129,282.75

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Solution

The third proportional to 86,128.31 and 129,282.75 is: 194,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,128.31 : 129,282.75 = 129,282.75 : x
  2. Step 2: Convert to fraction form
    86,128.31/129,282.75 = 129,282.75/x
  3. Step 3: Cross multiply
    86,128.31x = 129,282.75 × 129,282.75
  4. Step 4: Simplify right side
    86,128.31x = 16,714,029,447.56
  5. Step 5: Solve for x
    x = 16,714,029,447.56/86,128.31
  6. Step 6: Final answer
    x = 194,059.64

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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.