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Finding the Third Proportional to 271,470 and 578,990

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Solution

The third proportional to 271,470 and 578,990 is: 1,234,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,470 : 578,990 = 578,990 : x
  2. Step 2: Convert to fraction form
    271,470/578,990 = 578,990/x
  3. Step 3: Cross multiply
    271,470x = 578,990 × 578,990
  4. Step 4: Simplify right side
    271,470x = 335,229,420,100
  5. Step 5: Solve for x
    x = 335,229,420,100/271,470
  6. Step 6: Final answer
    x = 1,234,867.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.