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Finding the Third Proportional to 440,786 and 681,267

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Solution

The third proportional to 440,786 and 681,267 is: 1,052,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,786 : 681,267 = 681,267 : x
  2. Step 2: Convert to fraction form
    440,786/681,267 = 681,267/x
  3. Step 3: Cross multiply
    440,786x = 681,267 × 681,267
  4. Step 4: Simplify right side
    440,786x = 464,124,725,289
  5. Step 5: Solve for x
    x = 464,124,725,289/440,786
  6. Step 6: Final answer
    x = 1,052,947.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.