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Finding the Third Proportional to 30,980 and 49,231

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Solution

The third proportional to 30,980 and 49,231 is: 78,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980 : 49,231 = 49,231 : x
  2. Step 2: Convert to fraction form
    30,980/49,231 = 49,231/x
  3. Step 3: Cross multiply
    30,980x = 49,231 × 49,231
  4. Step 4: Simplify right side
    30,980x = 2,423,691,361
  5. Step 5: Solve for x
    x = 2,423,691,361/30,980
  6. Step 6: Final answer
    x = 78,234.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.