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Finding the Third Proportional to 342,942.75 and 521,253

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Solution

The third proportional to 342,942.75 and 521,253 is: 792,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,942.75 : 521,253 = 521,253 : x
  2. Step 2: Convert to fraction form
    342,942.75/521,253 = 521,253/x
  3. Step 3: Cross multiply
    342,942.75x = 521,253 × 521,253
  4. Step 4: Simplify right side
    342,942.75x = 271,704,690,009
  5. Step 5: Solve for x
    x = 271,704,690,009/342,942.75
  6. Step 6: Final answer
    x = 792,274.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.