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Finding the Third Proportional to 54,128.25 and 80,919

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Solution

The third proportional to 54,128.25 and 80,919 is: 120,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,128.25 : 80,919 = 80,919 : x
  2. Step 2: Convert to fraction form
    54,128.25/80,919 = 80,919/x
  3. Step 3: Cross multiply
    54,128.25x = 80,919 × 80,919
  4. Step 4: Simplify right side
    54,128.25x = 6,547,884,561
  5. Step 5: Solve for x
    x = 6,547,884,561/54,128.25
  6. Step 6: Final answer
    x = 120,969.82

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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.