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Finding the Third Proportional to 342,876 and 543,376

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Solution

The third proportional to 342,876 and 543,376 is: 861,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,876 : 543,376 = 543,376 : x
  2. Step 2: Convert to fraction form
    342,876/543,376 = 543,376/x
  3. Step 3: Cross multiply
    342,876x = 543,376 × 543,376
  4. Step 4: Simplify right side
    342,876x = 295,257,477,376
  5. Step 5: Solve for x
    x = 295,257,477,376/342,876
  6. Step 6: Final answer
    x = 861,120.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.