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Finding the Third Proportional to 8,122.78 and 10,951.03

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Solution

The third proportional to 8,122.78 and 10,951.03 is: 14,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.78 : 10,951.03 = 10,951.03 : x
  2. Step 2: Convert to fraction form
    8,122.78/10,951.03 = 10,951.03/x
  3. Step 3: Cross multiply
    8,122.78x = 10,951.03 × 10,951.03
  4. Step 4: Simplify right side
    8,122.78x = 119,925,085.44
  5. Step 5: Solve for x
    x = 119,925,085.44/8,122.78
  6. Step 6: Final answer
    x = 14,764.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.