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Finding the Third Proportional to 313,339.50 and 477,353

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Solution

The third proportional to 313,339.50 and 477,353 is: 727,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,339.50 : 477,353 = 477,353 : x
  2. Step 2: Convert to fraction form
    313,339.50/477,353 = 477,353/x
  3. Step 3: Cross multiply
    313,339.50x = 477,353 × 477,353
  4. Step 4: Simplify right side
    313,339.50x = 227,865,886,609
  5. Step 5: Solve for x
    x = 227,865,886,609/313,339.50
  6. Step 6: Final answer
    x = 727,217.24

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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.