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Finding the Third Proportional to 275,231 and 425,371

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Solution

The third proportional to 275,231 and 425,371 is: 657,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,231 : 425,371 = 425,371 : x
  2. Step 2: Convert to fraction form
    275,231/425,371 = 425,371/x
  3. Step 3: Cross multiply
    275,231x = 425,371 × 425,371
  4. Step 4: Simplify right side
    275,231x = 180,940,487,641
  5. Step 5: Solve for x
    x = 180,940,487,641/275,231
  6. Step 6: Final answer
    x = 657,413.18

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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.