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Finding the Third Proportional to 306,446 and 475,608

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Solution

The third proportional to 306,446 and 475,608 is: 738,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,446 : 475,608 = 475,608 : x
  2. Step 2: Convert to fraction form
    306,446/475,608 = 475,608/x
  3. Step 3: Cross multiply
    306,446x = 475,608 × 475,608
  4. Step 4: Simplify right side
    306,446x = 226,202,969,664
  5. Step 5: Solve for x
    x = 226,202,969,664/306,446
  6. Step 6: Final answer
    x = 738,149.53

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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.