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Finding the Third Proportional to 7,258.78 and 7,771.78

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Solution

The third proportional to 7,258.78 and 7,771.78 is: 8,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.78 : 7,771.78 = 7,771.78 : x
  2. Step 2: Convert to fraction form
    7,258.78/7,771.78 = 7,771.78/x
  3. Step 3: Cross multiply
    7,258.78x = 7,771.78 × 7,771.78
  4. Step 4: Simplify right side
    7,258.78x = 60,400,583.80
  5. Step 5: Solve for x
    x = 60,400,583.80/7,258.78
  6. Step 6: Final answer
    x = 8,321.04

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.