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Finding the Third Proportional to 275,978 and 415,334

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Solution

The third proportional to 275,978 and 415,334 is: 625,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,978 : 415,334 = 415,334 : x
  2. Step 2: Convert to fraction form
    275,978/415,334 = 415,334/x
  3. Step 3: Cross multiply
    275,978x = 415,334 × 415,334
  4. Step 4: Simplify right side
    275,978x = 172,502,331,556
  5. Step 5: Solve for x
    x = 172,502,331,556/275,978
  6. Step 6: Final answer
    x = 625,058.27

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