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Finding the Third Proportional to 91,930 and 189,764

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Solution

The third proportional to 91,930 and 189,764 is: 391,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,930 : 189,764 = 189,764 : x
  2. Step 2: Convert to fraction form
    91,930/189,764 = 189,764/x
  3. Step 3: Cross multiply
    91,930x = 189,764 × 189,764
  4. Step 4: Simplify right side
    91,930x = 36,010,375,696
  5. Step 5: Solve for x
    x = 36,010,375,696/91,930
  6. Step 6: Final answer
    x = 391,715.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.