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Finding the Third Proportional to 311,469 and 489,339

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Solution

The third proportional to 311,469 and 489,339 is: 768,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,469 : 489,339 = 489,339 : x
  2. Step 2: Convert to fraction form
    311,469/489,339 = 489,339/x
  3. Step 3: Cross multiply
    311,469x = 489,339 × 489,339
  4. Step 4: Simplify right side
    311,469x = 239,452,656,921
  5. Step 5: Solve for x
    x = 239,452,656,921/311,469
  6. Step 6: Final answer
    x = 768,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.