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Finding the Third Proportional to 313,245 and 477,211

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Solution

The third proportional to 313,245 and 477,211 is: 727,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,245 : 477,211 = 477,211 : x
  2. Step 2: Convert to fraction form
    313,245/477,211 = 477,211/x
  3. Step 3: Cross multiply
    313,245x = 477,211 × 477,211
  4. Step 4: Simplify right side
    313,245x = 227,730,338,521
  5. Step 5: Solve for x
    x = 227,730,338,521/313,245
  6. Step 6: Final answer
    x = 727,003.91

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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.