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Finding the Third Proportional to 2,490.75 and 5,442.19

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Solution

The third proportional to 2,490.75 and 5,442.19 is: 11,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.75 : 5,442.19 = 5,442.19 : x
  2. Step 2: Convert to fraction form
    2,490.75/5,442.19 = 5,442.19/x
  3. Step 3: Cross multiply
    2,490.75x = 5,442.19 × 5,442.19
  4. Step 4: Simplify right side
    2,490.75x = 29,617,404.79
  5. Step 5: Solve for x
    x = 29,617,404.79/2,490.75
  6. Step 6: Final answer
    x = 11,890.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.