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Finding the Third Proportional to 54,438.75 and 86,680.13

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Solution

The third proportional to 54,438.75 and 86,680.13 is: 138,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438.75 : 86,680.13 = 86,680.13 : x
  2. Step 2: Convert to fraction form
    54,438.75/86,680.13 = 86,680.13/x
  3. Step 3: Cross multiply
    54,438.75x = 86,680.13 × 86,680.13
  4. Step 4: Simplify right side
    54,438.75x = 7,513,444,070.02
  5. Step 5: Solve for x
    x = 7,513,444,070.02/54,438.75
  6. Step 6: Final answer
    x = 138,016.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.