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Finding the Third Proportional to 329,701 and 513,812

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Solution

The third proportional to 329,701 and 513,812 is: 800,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,701 : 513,812 = 513,812 : x
  2. Step 2: Convert to fraction form
    329,701/513,812 = 513,812/x
  3. Step 3: Cross multiply
    329,701x = 513,812 × 513,812
  4. Step 4: Simplify right side
    329,701x = 264,002,771,344
  5. Step 5: Solve for x
    x = 264,002,771,344/329,701
  6. Step 6: Final answer
    x = 800,733.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.