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Finding the Third Proportional to 311,876 and 683,416

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Solution

The third proportional to 311,876 and 683,416 is: 1,497,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,876 : 683,416 = 683,416 : x
  2. Step 2: Convert to fraction form
    311,876/683,416 = 683,416/x
  3. Step 3: Cross multiply
    311,876x = 683,416 × 683,416
  4. Step 4: Simplify right side
    311,876x = 467,057,429,056
  5. Step 5: Solve for x
    x = 467,057,429,056/311,876
  6. Step 6: Final answer
    x = 1,497,574.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.