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Finding the Third Proportional to 38,815.50 and 54,935

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Solution

The third proportional to 38,815.50 and 54,935 is: 77,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,815.50 : 54,935 = 54,935 : x
  2. Step 2: Convert to fraction form
    38,815.50/54,935 = 54,935/x
  3. Step 3: Cross multiply
    38,815.50x = 54,935 × 54,935
  4. Step 4: Simplify right side
    38,815.50x = 3,017,854,225
  5. Step 5: Solve for x
    x = 3,017,854,225/38,815.50
  6. Step 6: Final answer
    x = 77,748.69

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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.