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Finding the Third Proportional to 313,500 and 469,519.50

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Solution

The third proportional to 313,500 and 469,519.50 is: 703,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,500 : 469,519.50 = 469,519.50 : x
  2. Step 2: Convert to fraction form
    313,500/469,519.50 = 469,519.50/x
  3. Step 3: Cross multiply
    313,500x = 469,519.50 × 469,519.50
  4. Step 4: Simplify right side
    313,500x = 220,448,560,880.25
  5. Step 5: Solve for x
    x = 220,448,560,880.25/313,500
  6. Step 6: Final answer
    x = 703,185.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.