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Finding the Third Proportional to 5,490 and 8,115

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Solution

The third proportional to 5,490 and 8,115 is: 11,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 8,115 = 8,115 : x
  2. Step 2: Convert to fraction form
    5,490/8,115 = 8,115/x
  3. Step 3: Cross multiply
    5,490x = 8,115 × 8,115
  4. Step 4: Simplify right side
    5,490x = 65,853,225
  5. Step 5: Solve for x
    x = 65,853,225/5,490
  6. Step 6: Final answer
    x = 11,995.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.