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Finding the Third Proportional to 441,890 and 691,269

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Solution

The third proportional to 441,890 and 691,269 is: 1,081,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,890 : 691,269 = 691,269 : x
  2. Step 2: Convert to fraction form
    441,890/691,269 = 691,269/x
  3. Step 3: Cross multiply
    441,890x = 691,269 × 691,269
  4. Step 4: Simplify right side
    441,890x = 477,852,830,361
  5. Step 5: Solve for x
    x = 477,852,830,361/441,890
  6. Step 6: Final answer
    x = 1,081,384.12

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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.