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Finding the Third Proportional to 513,518 and 681,540

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Solution

The third proportional to 513,518 and 681,540 is: 904,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,518 : 681,540 = 681,540 : x
  2. Step 2: Convert to fraction form
    513,518/681,540 = 681,540/x
  3. Step 3: Cross multiply
    513,518x = 681,540 × 681,540
  4. Step 4: Simplify right side
    513,518x = 464,496,771,600
  5. Step 5: Solve for x
    x = 464,496,771,600/513,518
  6. Step 6: Final answer
    x = 904,538.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.