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Finding the Third Proportional to 274,930 and 425,692

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Solution

The third proportional to 274,930 and 425,692 is: 659,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,930 : 425,692 = 425,692 : x
  2. Step 2: Convert to fraction form
    274,930/425,692 = 425,692/x
  3. Step 3: Cross multiply
    274,930x = 425,692 × 425,692
  4. Step 4: Simplify right side
    274,930x = 181,213,678,864
  5. Step 5: Solve for x
    x = 181,213,678,864/274,930
  6. Step 6: Final answer
    x = 659,126.61

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