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Finding the Third Proportional to 271,806 and 391,509

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Solution

The third proportional to 271,806 and 391,509 is: 563,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806 : 391,509 = 391,509 : x
  2. Step 2: Convert to fraction form
    271,806/391,509 = 391,509/x
  3. Step 3: Cross multiply
    271,806x = 391,509 × 391,509
  4. Step 4: Simplify right side
    271,806x = 153,279,297,081
  5. Step 5: Solve for x
    x = 153,279,297,081/271,806
  6. Step 6: Final answer
    x = 563,929.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.