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Finding the Third Proportional to 125,486 and 178,876

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Solution

The third proportional to 125,486 and 178,876 is: 254,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,486 : 178,876 = 178,876 : x
  2. Step 2: Convert to fraction form
    125,486/178,876 = 178,876/x
  3. Step 3: Cross multiply
    125,486x = 178,876 × 178,876
  4. Step 4: Simplify right side
    125,486x = 31,996,623,376
  5. Step 5: Solve for x
    x = 31,996,623,376/125,486
  6. Step 6: Final answer
    x = 254,981.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.