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Finding the Third Proportional to 313,398 and 477,446

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Solution

The third proportional to 313,398 and 477,446 is: 727,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,398 : 477,446 = 477,446 : x
  2. Step 2: Convert to fraction form
    313,398/477,446 = 477,446/x
  3. Step 3: Cross multiply
    313,398x = 477,446 × 477,446
  4. Step 4: Simplify right side
    313,398x = 227,954,682,916
  5. Step 5: Solve for x
    x = 227,954,682,916/313,398
  6. Step 6: Final answer
    x = 727,364.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.