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Finding the Third Proportional to 39,679.88 and 54,386.44

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Solution

The third proportional to 39,679.88 and 54,386.44 is: 74,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,679.88 : 54,386.44 = 54,386.44 : x
  2. Step 2: Convert to fraction form
    39,679.88/54,386.44 = 54,386.44/x
  3. Step 3: Cross multiply
    39,679.88x = 54,386.44 × 54,386.44
  4. Step 4: Simplify right side
    39,679.88x = 2,957,884,583.94
  5. Step 5: Solve for x
    x = 2,957,884,583.94/39,679.88
  6. Step 6: Final answer
    x = 74,543.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.