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Finding the Third Proportional to 3,902.88 and 5,525.75

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Solution

The third proportional to 3,902.88 and 5,525.75 is: 7,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.88 : 5,525.75 = 5,525.75 : x
  2. Step 2: Convert to fraction form
    3,902.88/5,525.75 = 5,525.75/x
  3. Step 3: Cross multiply
    3,902.88x = 5,525.75 × 5,525.75
  4. Step 4: Simplify right side
    3,902.88x = 30,533,913.06
  5. Step 5: Solve for x
    x = 30,533,913.06/3,902.88
  6. Step 6: Final answer
    x = 7,823.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.