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Finding the Third Proportional to 31,400 and 68,254

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Solution

The third proportional to 31,400 and 68,254 is: 148,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400 : 68,254 = 68,254 : x
  2. Step 2: Convert to fraction form
    31,400/68,254 = 68,254/x
  3. Step 3: Cross multiply
    31,400x = 68,254 × 68,254
  4. Step 4: Simplify right side
    31,400x = 4,658,608,516
  5. Step 5: Solve for x
    x = 4,658,608,516/31,400
  6. Step 6: Final answer
    x = 148,363.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.