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Finding the Third Proportional to 172,138 and 265,876

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Solution

The third proportional to 172,138 and 265,876 is: 410,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,138 : 265,876 = 265,876 : x
  2. Step 2: Convert to fraction form
    172,138/265,876 = 265,876/x
  3. Step 3: Cross multiply
    172,138x = 265,876 × 265,876
  4. Step 4: Simplify right side
    172,138x = 70,690,047,376
  5. Step 5: Solve for x
    x = 70,690,047,376/172,138
  6. Step 6: Final answer
    x = 410,659.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.