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Finding the Third Proportional to 41,314 and 88,625

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Solution

The third proportional to 41,314 and 88,625 is: 190,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314 : 88,625 = 88,625 : x
  2. Step 2: Convert to fraction form
    41,314/88,625 = 88,625/x
  3. Step 3: Cross multiply
    41,314x = 88,625 × 88,625
  4. Step 4: Simplify right side
    41,314x = 7,854,390,625
  5. Step 5: Solve for x
    x = 7,854,390,625/41,314
  6. Step 6: Final answer
    x = 190,114.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.