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Finding the Third Proportional to 275,247 and 425,396

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Solution

The third proportional to 275,247 and 425,396 is: 657,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,247 : 425,396 = 425,396 : x
  2. Step 2: Convert to fraction form
    275,247/425,396 = 425,396/x
  3. Step 3: Cross multiply
    275,247x = 425,396 × 425,396
  4. Step 4: Simplify right side
    275,247x = 180,961,756,816
  5. Step 5: Solve for x
    x = 180,961,756,816/275,247
  6. Step 6: Final answer
    x = 657,452.24

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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.