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Finding the Third Proportional to 513,674 and 681,771

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Solution

The third proportional to 513,674 and 681,771 is: 904,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,674 : 681,771 = 681,771 : x
  2. Step 2: Convert to fraction form
    513,674/681,771 = 681,771/x
  3. Step 3: Cross multiply
    513,674x = 681,771 × 681,771
  4. Step 4: Simplify right side
    513,674x = 464,811,696,441
  5. Step 5: Solve for x
    x = 464,811,696,441/513,674
  6. Step 6: Final answer
    x = 904,876.82

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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.