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Finding the Third Proportional to 86,595.33 and 129,541.78

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Solution

The third proportional to 86,595.33 and 129,541.78 is: 193,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,595.33 : 129,541.78 = 129,541.78 : x
  2. Step 2: Convert to fraction form
    86,595.33/129,541.78 = 129,541.78/x
  3. Step 3: Cross multiply
    86,595.33x = 129,541.78 × 129,541.78
  4. Step 4: Simplify right side
    86,595.33x = 16,781,073,089.42
  5. Step 5: Solve for x
    x = 16,781,073,089.42/86,595.33
  6. Step 6: Final answer
    x = 193,787.28

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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.