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Finding the Third Proportional to 311,980 and 482,670

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Solution

The third proportional to 311,980 and 482,670 is: 746,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,980 : 482,670 = 482,670 : x
  2. Step 2: Convert to fraction form
    311,980/482,670 = 482,670/x
  3. Step 3: Cross multiply
    311,980x = 482,670 × 482,670
  4. Step 4: Simplify right side
    311,980x = 232,970,328,900
  5. Step 5: Solve for x
    x = 232,970,328,900/311,980
  6. Step 6: Final answer
    x = 746,747.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.