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Finding the Third Proportional to 207,372 and 311,851

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Solution

The third proportional to 207,372 and 311,851 is: 468,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,372 : 311,851 = 311,851 : x
  2. Step 2: Convert to fraction form
    207,372/311,851 = 311,851/x
  3. Step 3: Cross multiply
    207,372x = 311,851 × 311,851
  4. Step 4: Simplify right side
    207,372x = 97,251,046,201
  5. Step 5: Solve for x
    x = 97,251,046,201/207,372
  6. Step 6: Final answer
    x = 468,969.03

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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.