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Finding the Third Proportional to 13,400 and 31,157

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Solution

The third proportional to 13,400 and 31,157 is: 72,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 31,157 = 31,157 : x
  2. Step 2: Convert to fraction form
    13,400/31,157 = 31,157/x
  3. Step 3: Cross multiply
    13,400x = 31,157 × 31,157
  4. Step 4: Simplify right side
    13,400x = 970,758,649
  5. Step 5: Solve for x
    x = 970,758,649/13,400
  6. Step 6: Final answer
    x = 72,444.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.