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Finding the Third Proportional to 313,438.50 and 408,312

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Solution

The third proportional to 313,438.50 and 408,312 is: 531,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,438.50 : 408,312 = 408,312 : x
  2. Step 2: Convert to fraction form
    313,438.50/408,312 = 408,312/x
  3. Step 3: Cross multiply
    313,438.50x = 408,312 × 408,312
  4. Step 4: Simplify right side
    313,438.50x = 166,718,689,344
  5. Step 5: Solve for x
    x = 166,718,689,344/313,438.50
  6. Step 6: Final answer
    x = 531,902.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.