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Finding the Third Proportional to 31,418 and 47,195

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Solution

The third proportional to 31,418 and 47,195 is: 70,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418 : 47,195 = 47,195 : x
  2. Step 2: Convert to fraction form
    31,418/47,195 = 47,195/x
  3. Step 3: Cross multiply
    31,418x = 47,195 × 47,195
  4. Step 4: Simplify right side
    31,418x = 2,227,368,025
  5. Step 5: Solve for x
    x = 2,227,368,025/31,418
  6. Step 6: Final answer
    x = 70,894.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.