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Finding the Third Proportional to 768,646 and 1,221,398

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Solution

The third proportional to 768,646 and 1,221,398 is: 1,940,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,646 : 1,221,398 = 1,221,398 : x
  2. Step 2: Convert to fraction form
    768,646/1,221,398 = 1,221,398/x
  3. Step 3: Cross multiply
    768,646x = 1,221,398 × 1,221,398
  4. Step 4: Simplify right side
    768,646x = 1,491,813,074,404
  5. Step 5: Solve for x
    x = 1,491,813,074,404/768,646
  6. Step 6: Final answer
    x = 1,940,832.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.