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Finding the Third Proportional to 275,223 and 425,359

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Solution

The third proportional to 275,223 and 425,359 is: 657,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,223 : 425,359 = 425,359 : x
  2. Step 2: Convert to fraction form
    275,223/425,359 = 425,359/x
  3. Step 3: Cross multiply
    275,223x = 425,359 × 425,359
  4. Step 4: Simplify right side
    275,223x = 180,930,278,881
  5. Step 5: Solve for x
    x = 180,930,278,881/275,223
  6. Step 6: Final answer
    x = 657,395.20

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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.