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Finding the Third Proportional to 256,766 and 377,876

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Solution

The third proportional to 256,766 and 377,876 is: 556,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,766 : 377,876 = 377,876 : x
  2. Step 2: Convert to fraction form
    256,766/377,876 = 377,876/x
  3. Step 3: Cross multiply
    256,766x = 377,876 × 377,876
  4. Step 4: Simplify right side
    256,766x = 142,790,271,376
  5. Step 5: Solve for x
    x = 142,790,271,376/256,766
  6. Step 6: Final answer
    x = 556,110.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.