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Finding the Third Proportional to 207,922 and 311,412

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Solution

The third proportional to 207,922 and 311,412 is: 466,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,922 : 311,412 = 311,412 : x
  2. Step 2: Convert to fraction form
    207,922/311,412 = 311,412/x
  3. Step 3: Cross multiply
    207,922x = 311,412 × 311,412
  4. Step 4: Simplify right side
    207,922x = 96,977,433,744
  5. Step 5: Solve for x
    x = 96,977,433,744/207,922
  6. Step 6: Final answer
    x = 466,412.57

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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.