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Finding the Third Proportional to 91,738 and 189,769

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Solution

The third proportional to 91,738 and 189,769 is: 392,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 189,769 = 189,769 : x
  2. Step 2: Convert to fraction form
    91,738/189,769 = 189,769/x
  3. Step 3: Cross multiply
    91,738x = 189,769 × 189,769
  4. Step 4: Simplify right side
    91,738x = 36,012,273,361
  5. Step 5: Solve for x
    x = 36,012,273,361/91,738
  6. Step 6: Final answer
    x = 392,555.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.