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Finding the Third Proportional to 360,569 and 769,398

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Solution

The third proportional to 360,569 and 769,398 is: 1,641,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,569 : 769,398 = 769,398 : x
  2. Step 2: Convert to fraction form
    360,569/769,398 = 769,398/x
  3. Step 3: Cross multiply
    360,569x = 769,398 × 769,398
  4. Step 4: Simplify right side
    360,569x = 591,973,282,404
  5. Step 5: Solve for x
    x = 591,973,282,404/360,569
  6. Step 6: Final answer
    x = 1,641,775.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.