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Finding the Third Proportional to 202,337 and 311,811

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Solution

The third proportional to 202,337 and 311,811 is: 480,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,337 : 311,811 = 311,811 : x
  2. Step 2: Convert to fraction form
    202,337/311,811 = 311,811/x
  3. Step 3: Cross multiply
    202,337x = 311,811 × 311,811
  4. Step 4: Simplify right side
    202,337x = 97,226,099,721
  5. Step 5: Solve for x
    x = 97,226,099,721/202,337
  6. Step 6: Final answer
    x = 480,515.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.