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Finding the Third Proportional to 54,958.50 and 85,306.50

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Solution

The third proportional to 54,958.50 and 85,306.50 is: 132,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,958.50 : 85,306.50 = 85,306.50 : x
  2. Step 2: Convert to fraction form
    54,958.50/85,306.50 = 85,306.50/x
  3. Step 3: Cross multiply
    54,958.50x = 85,306.50 × 85,306.50
  4. Step 4: Simplify right side
    54,958.50x = 7,277,198,942.25
  5. Step 5: Solve for x
    x = 7,277,198,942.25/54,958.50
  6. Step 6: Final answer
    x = 132,412.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.