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Finding the Third Proportional to 275,449 and 425,629

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Solution

The third proportional to 275,449 and 425,629 is: 657,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,449 : 425,629 = 425,629 : x
  2. Step 2: Convert to fraction form
    275,449/425,629 = 425,629/x
  3. Step 3: Cross multiply
    275,449x = 425,629 × 425,629
  4. Step 4: Simplify right side
    275,449x = 181,160,045,641
  5. Step 5: Solve for x
    x = 181,160,045,641/275,449
  6. Step 6: Final answer
    x = 657,689.97

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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.