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Finding the Third Proportional to 271,982 and 449,486

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Solution

The third proportional to 271,982 and 449,486 is: 742,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,982 : 449,486 = 449,486 : x
  2. Step 2: Convert to fraction form
    271,982/449,486 = 449,486/x
  3. Step 3: Cross multiply
    271,982x = 449,486 × 449,486
  4. Step 4: Simplify right side
    271,982x = 202,037,664,196
  5. Step 5: Solve for x
    x = 202,037,664,196/271,982
  6. Step 6: Final answer
    x = 742,834.69

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.