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Finding the Third Proportional to 275,458 and 425,339

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Solution

The third proportional to 275,458 and 425,339 is: 656,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,458 : 425,339 = 425,339 : x
  2. Step 2: Convert to fraction form
    275,458/425,339 = 425,339/x
  3. Step 3: Cross multiply
    275,458x = 425,339 × 425,339
  4. Step 4: Simplify right side
    275,458x = 180,913,264,921
  5. Step 5: Solve for x
    x = 180,913,264,921/275,458
  6. Step 6: Final answer
    x = 656,772.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.