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Finding the Third Proportional to 31,851 and 68,625

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Solution

The third proportional to 31,851 and 68,625 is: 147,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851 : 68,625 = 68,625 : x
  2. Step 2: Convert to fraction form
    31,851/68,625 = 68,625/x
  3. Step 3: Cross multiply
    31,851x = 68,625 × 68,625
  4. Step 4: Simplify right side
    31,851x = 4,709,390,625
  5. Step 5: Solve for x
    x = 4,709,390,625/31,851
  6. Step 6: Final answer
    x = 147,856.92

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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.