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Finding the Third Proportional to 277,389 and 354,451

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Solution

The third proportional to 277,389 and 354,451 is: 452,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,389 : 354,451 = 354,451 : x
  2. Step 2: Convert to fraction form
    277,389/354,451 = 354,451/x
  3. Step 3: Cross multiply
    277,389x = 354,451 × 354,451
  4. Step 4: Simplify right side
    277,389x = 125,635,511,401
  5. Step 5: Solve for x
    x = 125,635,511,401/277,389
  6. Step 6: Final answer
    x = 452,921.75

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.