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Finding the Third Proportional to 274,965.75 and 415,215

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Solution

The third proportional to 274,965.75 and 415,215 is: 626,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,965.75 : 415,215 = 415,215 : x
  2. Step 2: Convert to fraction form
    274,965.75/415,215 = 415,215/x
  3. Step 3: Cross multiply
    274,965.75x = 415,215 × 415,215
  4. Step 4: Simplify right side
    274,965.75x = 172,403,496,225
  5. Step 5: Solve for x
    x = 172,403,496,225/274,965.75
  6. Step 6: Final answer
    x = 626,999.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.