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Finding the Third Proportional to 311,338 and 680,358

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Solution

The third proportional to 311,338 and 680,358 is: 1,486,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,338 : 680,358 = 680,358 : x
  2. Step 2: Convert to fraction form
    311,338/680,358 = 680,358/x
  3. Step 3: Cross multiply
    311,338x = 680,358 × 680,358
  4. Step 4: Simplify right side
    311,338x = 462,887,008,164
  5. Step 5: Solve for x
    x = 462,887,008,164/311,338
  6. Step 6: Final answer
    x = 1,486,766.82

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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.