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Finding the Third Proportional to 54,312.75 and 81,160.69

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Solution

The third proportional to 54,312.75 and 81,160.69 is: 121,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312.75 : 81,160.69 = 81,160.69 : x
  2. Step 2: Convert to fraction form
    54,312.75/81,160.69 = 81,160.69/x
  3. Step 3: Cross multiply
    54,312.75x = 81,160.69 × 81,160.69
  4. Step 4: Simplify right side
    54,312.75x = 6,587,057,195.47
  5. Step 5: Solve for x
    x = 6,587,057,195.47/54,312.75
  6. Step 6: Final answer
    x = 121,280.13

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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.