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Finding the Third Proportional to 54,589.50 and 77,328

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Solution

The third proportional to 54,589.50 and 77,328 is: 109,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,589.50 : 77,328 = 77,328 : x
  2. Step 2: Convert to fraction form
    54,589.50/77,328 = 77,328/x
  3. Step 3: Cross multiply
    54,589.50x = 77,328 × 77,328
  4. Step 4: Simplify right side
    54,589.50x = 5,979,619,584
  5. Step 5: Solve for x
    x = 5,979,619,584/54,589.50
  6. Step 6: Final answer
    x = 109,537.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.