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Finding the Third Proportional to 1,123.90 and 2,470.85

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Solution

The third proportional to 1,123.90 and 2,470.85 is: 5,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.90 : 2,470.85 = 2,470.85 : x
  2. Step 2: Convert to fraction form
    1,123.90/2,470.85 = 2,470.85/x
  3. Step 3: Cross multiply
    1,123.90x = 2,470.85 × 2,470.85
  4. Step 4: Simplify right side
    1,123.90x = 6,105,107.44
  5. Step 5: Solve for x
    x = 6,105,107.44/1,123.90
  6. Step 6: Final answer
    x = 5,432.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.