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Finding the Third Proportional to 207,216 and 311,400

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Solution

The third proportional to 207,216 and 311,400 is: 467,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,216 : 311,400 = 311,400 : x
  2. Step 2: Convert to fraction form
    207,216/311,400 = 311,400/x
  3. Step 3: Cross multiply
    207,216x = 311,400 × 311,400
  4. Step 4: Simplify right side
    207,216x = 96,969,960,000
  5. Step 5: Solve for x
    x = 96,969,960,000/207,216
  6. Step 6: Final answer
    x = 467,965.60

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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.