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Finding the Third Proportional to 313,370 and 477,400

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Solution

The third proportional to 313,370 and 477,400 is: 727,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,370 : 477,400 = 477,400 : x
  2. Step 2: Convert to fraction form
    313,370/477,400 = 477,400/x
  3. Step 3: Cross multiply
    313,370x = 477,400 × 477,400
  4. Step 4: Simplify right side
    313,370x = 227,910,760,000
  5. Step 5: Solve for x
    x = 227,910,760,000/313,370
  6. Step 6: Final answer
    x = 727,289.66

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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.