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Finding the Third Proportional to 4,912.31 and 11,490.19

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Solution

The third proportional to 4,912.31 and 11,490.19 is: 26,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.31 : 11,490.19 = 11,490.19 : x
  2. Step 2: Convert to fraction form
    4,912.31/11,490.19 = 11,490.19/x
  3. Step 3: Cross multiply
    4,912.31x = 11,490.19 × 11,490.19
  4. Step 4: Simplify right side
    4,912.31x = 132,024,408.79
  5. Step 5: Solve for x
    x = 132,024,408.79/4,912.31
  6. Step 6: Final answer
    x = 26,876.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.