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Finding the Third Proportional to 2,490.75 and 5,391.56

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Solution

The third proportional to 2,490.75 and 5,391.56 is: 11,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.75 : 5,391.56 = 5,391.56 : x
  2. Step 2: Convert to fraction form
    2,490.75/5,391.56 = 5,391.56/x
  3. Step 3: Cross multiply
    2,490.75x = 5,391.56 × 5,391.56
  4. Step 4: Simplify right side
    2,490.75x = 29,068,946.19
  5. Step 5: Solve for x
    x = 29,068,946.19/2,490.75
  6. Step 6: Final answer
    x = 11,670.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.