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Finding the Third Proportional to 306,474 and 475,749

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Solution

The third proportional to 306,474 and 475,749 is: 738,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,474 : 475,749 = 475,749 : x
  2. Step 2: Convert to fraction form
    306,474/475,749 = 475,749/x
  3. Step 3: Cross multiply
    306,474x = 475,749 × 475,749
  4. Step 4: Simplify right side
    306,474x = 226,337,111,001
  5. Step 5: Solve for x
    x = 226,337,111,001/306,474
  6. Step 6: Final answer
    x = 738,519.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.