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Finding the Third Proportional to 311,814 and 502,176

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Solution

The third proportional to 311,814 and 502,176 is: 808,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814 : 502,176 = 502,176 : x
  2. Step 2: Convert to fraction form
    311,814/502,176 = 502,176/x
  3. Step 3: Cross multiply
    311,814x = 502,176 × 502,176
  4. Step 4: Simplify right side
    311,814x = 252,180,734,976
  5. Step 5: Solve for x
    x = 252,180,734,976/311,814
  6. Step 6: Final answer
    x = 808,753.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.