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Finding the Third Proportional to 263,340 and 513,540

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Solution

The third proportional to 263,340 and 513,540 is: 1,001,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,340 : 513,540 = 513,540 : x
  2. Step 2: Convert to fraction form
    263,340/513,540 = 513,540/x
  3. Step 3: Cross multiply
    263,340x = 513,540 × 513,540
  4. Step 4: Simplify right side
    263,340x = 263,723,331,600
  5. Step 5: Solve for x
    x = 263,723,331,600/263,340
  6. Step 6: Final answer
    x = 1,001,455.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.