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Finding the Third Proportional to 86,559.80 and 132,966.40

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Solution

The third proportional to 86,559.80 and 132,966.40 is: 204,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,559.80 : 132,966.40 = 132,966.40 : x
  2. Step 2: Convert to fraction form
    86,559.80/132,966.40 = 132,966.40/x
  3. Step 3: Cross multiply
    86,559.80x = 132,966.40 × 132,966.40
  4. Step 4: Simplify right side
    86,559.80x = 17,680,063,113.44
  5. Step 5: Solve for x
    x = 17,680,063,113.44/86,559.80
  6. Step 6: Final answer
    x = 204,252.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.