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Finding the Third Proportional to 7,899.75 and 18,241.88

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Solution

The third proportional to 7,899.75 and 18,241.88 is: 42,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.75 : 18,241.88 = 18,241.88 : x
  2. Step 2: Convert to fraction form
    7,899.75/18,241.88 = 18,241.88/x
  3. Step 3: Cross multiply
    7,899.75x = 18,241.88 × 18,241.88
  4. Step 4: Simplify right side
    7,899.75x = 332,766,003.52
  5. Step 5: Solve for x
    x = 332,766,003.52/7,899.75
  6. Step 6: Final answer
    x = 42,123.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.