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Finding the Third Proportional to 207,700 and 311,203

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Solution

The third proportional to 207,700 and 311,203 is: 466,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,700 : 311,203 = 311,203 : x
  2. Step 2: Convert to fraction form
    207,700/311,203 = 311,203/x
  3. Step 3: Cross multiply
    207,700x = 311,203 × 311,203
  4. Step 4: Simplify right side
    207,700x = 96,847,307,209
  5. Step 5: Solve for x
    x = 96,847,307,209/207,700
  6. Step 6: Final answer
    x = 466,284.58

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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.