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Finding the Third Proportional to 441,920 and 691,304

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Solution

The third proportional to 441,920 and 691,304 is: 1,081,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,920 : 691,304 = 691,304 : x
  2. Step 2: Convert to fraction form
    441,920/691,304 = 691,304/x
  3. Step 3: Cross multiply
    441,920x = 691,304 × 691,304
  4. Step 4: Simplify right side
    441,920x = 477,901,220,416
  5. Step 5: Solve for x
    x = 477,901,220,416/441,920
  6. Step 6: Final answer
    x = 1,081,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.