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Finding the Third Proportional to 138,232 and 207,876

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Solution

The third proportional to 138,232 and 207,876 is: 312,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,232 : 207,876 = 207,876 : x
  2. Step 2: Convert to fraction form
    138,232/207,876 = 207,876/x
  3. Step 3: Cross multiply
    138,232x = 207,876 × 207,876
  4. Step 4: Simplify right side
    138,232x = 43,212,431,376
  5. Step 5: Solve for x
    x = 43,212,431,376/138,232
  6. Step 6: Final answer
    x = 312,608.02

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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.