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Finding the Third Proportional to 2,160.75 and 3,123.38

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Solution

The third proportional to 2,160.75 and 3,123.38 is: 4,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.75 : 3,123.38 = 3,123.38 : x
  2. Step 2: Convert to fraction form
    2,160.75/3,123.38 = 3,123.38/x
  3. Step 3: Cross multiply
    2,160.75x = 3,123.38 × 3,123.38
  4. Step 4: Simplify right side
    2,160.75x = 9,755,471.39
  5. Step 5: Solve for x
    x = 9,755,471.39/2,160.75
  6. Step 6: Final answer
    x = 4,514.85

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.