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Finding the Third Proportional to 291,691 and 449,981

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Solution

The third proportional to 291,691 and 449,981 is: 694,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,691 : 449,981 = 449,981 : x
  2. Step 2: Convert to fraction form
    291,691/449,981 = 449,981/x
  3. Step 3: Cross multiply
    291,691x = 449,981 × 449,981
  4. Step 4: Simplify right side
    291,691x = 202,482,900,361
  5. Step 5: Solve for x
    x = 202,482,900,361/291,691
  6. Step 6: Final answer
    x = 694,169.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.