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Finding the Third Proportional to 275,986 and 415,348

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Solution

The third proportional to 275,986 and 415,348 is: 625,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,986 : 415,348 = 415,348 : x
  2. Step 2: Convert to fraction form
    275,986/415,348 = 415,348/x
  3. Step 3: Cross multiply
    275,986x = 415,348 × 415,348
  4. Step 4: Simplify right side
    275,986x = 172,513,961,104
  5. Step 5: Solve for x
    x = 172,513,961,104/275,986
  6. Step 6: Final answer
    x = 625,082.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.