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Finding the Third Proportional to 7,750.50 and 9,951.75

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Solution

The third proportional to 7,750.50 and 9,951.75 is: 12,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.50 : 9,951.75 = 9,951.75 : x
  2. Step 2: Convert to fraction form
    7,750.50/9,951.75 = 9,951.75/x
  3. Step 3: Cross multiply
    7,750.50x = 9,951.75 × 9,951.75
  4. Step 4: Simplify right side
    7,750.50x = 99,037,328.06
  5. Step 5: Solve for x
    x = 99,037,328.06/7,750.50
  6. Step 6: Final answer
    x = 12,778.19

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.