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Finding the Third Proportional to 313,443 and 477,508.75

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Solution

The third proportional to 313,443 and 477,508.75 is: 727,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,443 : 477,508.75 = 477,508.75 : x
  2. Step 2: Convert to fraction form
    313,443/477,508.75 = 477,508.75/x
  3. Step 3: Cross multiply
    313,443x = 477,508.75 × 477,508.75
  4. Step 4: Simplify right side
    313,443x = 228,014,606,326.56
  5. Step 5: Solve for x
    x = 228,014,606,326.56/313,443
  6. Step 6: Final answer
    x = 727,451.58

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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.