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Finding the Third Proportional to 54,219.38 and 130,642.88

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Solution

The third proportional to 54,219.38 and 130,642.88 is: 314,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,219.38 : 130,642.88 = 130,642.88 : x
  2. Step 2: Convert to fraction form
    54,219.38/130,642.88 = 130,642.88/x
  3. Step 3: Cross multiply
    54,219.38x = 130,642.88 × 130,642.88
  4. Step 4: Simplify right side
    54,219.38x = 17,067,560,788.27
  5. Step 5: Solve for x
    x = 17,067,560,788.27/54,219.38
  6. Step 6: Final answer
    x = 314,787.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.