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Finding the Third Proportional to 271,746 and 391,419

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Solution

The third proportional to 271,746 and 391,419 is: 563,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,746 : 391,419 = 391,419 : x
  2. Step 2: Convert to fraction form
    271,746/391,419 = 391,419/x
  3. Step 3: Cross multiply
    271,746x = 391,419 × 391,419
  4. Step 4: Simplify right side
    271,746x = 153,208,833,561
  5. Step 5: Solve for x
    x = 153,208,833,561/271,746
  6. Step 6: Final answer
    x = 563,794.25

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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.