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Finding the Third Proportional to 274,628 and 415,815

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Solution

The third proportional to 274,628 and 415,815 is: 629,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,628 : 415,815 = 415,815 : x
  2. Step 2: Convert to fraction form
    274,628/415,815 = 415,815/x
  3. Step 3: Cross multiply
    274,628x = 415,815 × 415,815
  4. Step 4: Simplify right side
    274,628x = 172,902,114,225
  5. Step 5: Solve for x
    x = 172,902,114,225/274,628
  6. Step 6: Final answer
    x = 629,586.62

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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.