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Finding the Third Proportional to 31,214 and 47,157

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Solution

The third proportional to 31,214 and 47,157 is: 71,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214 : 47,157 = 47,157 : x
  2. Step 2: Convert to fraction form
    31,214/47,157 = 47,157/x
  3. Step 3: Cross multiply
    31,214x = 47,157 × 47,157
  4. Step 4: Simplify right side
    31,214x = 2,223,782,649
  5. Step 5: Solve for x
    x = 2,223,782,649/31,214
  6. Step 6: Final answer
    x = 71,243.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.