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Finding the Third Proportional to 311,184 and 456,876

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Solution

The third proportional to 311,184 and 456,876 is: 670,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,184 : 456,876 = 456,876 : x
  2. Step 2: Convert to fraction form
    311,184/456,876 = 456,876/x
  3. Step 3: Cross multiply
    311,184x = 456,876 × 456,876
  4. Step 4: Simplify right side
    311,184x = 208,735,679,376
  5. Step 5: Solve for x
    x = 208,735,679,376/311,184
  6. Step 6: Final answer
    x = 670,778.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.