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Finding the Third Proportional to 311,246 and 683,008

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Solution

The third proportional to 311,246 and 683,008 is: 1,498,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,246 : 683,008 = 683,008 : x
  2. Step 2: Convert to fraction form
    311,246/683,008 = 683,008/x
  3. Step 3: Cross multiply
    311,246x = 683,008 × 683,008
  4. Step 4: Simplify right side
    311,246x = 466,499,928,064
  5. Step 5: Solve for x
    x = 466,499,928,064/311,246
  6. Step 6: Final answer
    x = 1,498,814.21

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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.