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Finding the Third Proportional to 54,585 and 81,542.25

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Solution

The third proportional to 54,585 and 81,542.25 is: 121,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,585 : 81,542.25 = 81,542.25 : x
  2. Step 2: Convert to fraction form
    54,585/81,542.25 = 81,542.25/x
  3. Step 3: Cross multiply
    54,585x = 81,542.25 × 81,542.25
  4. Step 4: Simplify right side
    54,585x = 6,649,138,535.06
  5. Step 5: Solve for x
    x = 6,649,138,535.06/54,585
  6. Step 6: Final answer
    x = 121,812.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.