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Finding the Third Proportional to 360,561 and 769,391

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Solution

The third proportional to 360,561 and 769,391 is: 1,641,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,561 : 769,391 = 769,391 : x
  2. Step 2: Convert to fraction form
    360,561/769,391 = 769,391/x
  3. Step 3: Cross multiply
    360,561x = 769,391 × 769,391
  4. Step 4: Simplify right side
    360,561x = 591,962,510,881
  5. Step 5: Solve for x
    x = 591,962,510,881/360,561
  6. Step 6: Final answer
    x = 1,641,781.86

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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.