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Finding the Third Proportional to 311,340 and 680,362

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Solution

The third proportional to 311,340 and 680,362 is: 1,486,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,340 : 680,362 = 680,362 : x
  2. Step 2: Convert to fraction form
    311,340/680,362 = 680,362/x
  3. Step 3: Cross multiply
    311,340x = 680,362 × 680,362
  4. Step 4: Simplify right side
    311,340x = 462,892,451,044
  5. Step 5: Solve for x
    x = 462,892,451,044/311,340
  6. Step 6: Final answer
    x = 1,486,774.75

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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.