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Finding the Third Proportional to 313,200 and 477,144

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Solution

The third proportional to 313,200 and 477,144 is: 726,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,200 : 477,144 = 477,144 : x
  2. Step 2: Convert to fraction form
    313,200/477,144 = 477,144/x
  3. Step 3: Cross multiply
    313,200x = 477,144 × 477,144
  4. Step 4: Simplify right side
    313,200x = 227,666,396,736
  5. Step 5: Solve for x
    x = 227,666,396,736/313,200
  6. Step 6: Final answer
    x = 726,904.20

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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.