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Finding the Third Proportional to 274,900 and 425,652

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Solution

The third proportional to 274,900 and 425,652 is: 659,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,900 : 425,652 = 425,652 : x
  2. Step 2: Convert to fraction form
    274,900/425,652 = 425,652/x
  3. Step 3: Cross multiply
    274,900x = 425,652 × 425,652
  4. Step 4: Simplify right side
    274,900x = 181,179,625,104
  5. Step 5: Solve for x
    x = 181,179,625,104/274,900
  6. Step 6: Final answer
    x = 659,074.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.