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Finding the Third Proportional to 275,450 and 425,632

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Solution

The third proportional to 275,450 and 425,632 is: 657,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,450 : 425,632 = 425,632 : x
  2. Step 2: Convert to fraction form
    275,450/425,632 = 425,632/x
  3. Step 3: Cross multiply
    275,450x = 425,632 × 425,632
  4. Step 4: Simplify right side
    275,450x = 181,162,599,424
  5. Step 5: Solve for x
    x = 181,162,599,424/275,450
  6. Step 6: Final answer
    x = 657,696.86

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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.