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Finding the Third Proportional to 275,700 and 425,538

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Solution

The third proportional to 275,700 and 425,538 is: 656,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,700 : 425,538 = 425,538 : x
  2. Step 2: Convert to fraction form
    275,700/425,538 = 425,538/x
  3. Step 3: Cross multiply
    275,700x = 425,538 × 425,538
  4. Step 4: Simplify right side
    275,700x = 181,082,589,444
  5. Step 5: Solve for x
    x = 181,082,589,444/275,700
  6. Step 6: Final answer
    x = 656,810.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.