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Finding the Third Proportional to 382,068 and 820,508

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Solution

The third proportional to 382,068 and 820,508 is: 1,762,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,068 : 820,508 = 820,508 : x
  2. Step 2: Convert to fraction form
    382,068/820,508 = 820,508/x
  3. Step 3: Cross multiply
    382,068x = 820,508 × 820,508
  4. Step 4: Simplify right side
    382,068x = 673,233,378,064
  5. Step 5: Solve for x
    x = 673,233,378,064/382,068
  6. Step 6: Final answer
    x = 1,762,077.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.