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Finding the Third Proportional to 275,058 and 420,760.13

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Solution

The third proportional to 275,058 and 420,760.13 is: 643,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,058 : 420,760.13 = 420,760.13 : x
  2. Step 2: Convert to fraction form
    275,058/420,760.13 = 420,760.13/x
  3. Step 3: Cross multiply
    275,058x = 420,760.13 × 420,760.13
  4. Step 4: Simplify right side
    275,058x = 177,039,082,790.02
  5. Step 5: Solve for x
    x = 177,039,082,790.02/275,058
  6. Step 6: Final answer
    x = 643,642.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.