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Finding the Third Proportional to 19,156 and 27,991

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Solution

The third proportional to 19,156 and 27,991 is: 40,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156 : 27,991 = 27,991 : x
  2. Step 2: Convert to fraction form
    19,156/27,991 = 27,991/x
  3. Step 3: Cross multiply
    19,156x = 27,991 × 27,991
  4. Step 4: Simplify right side
    19,156x = 783,496,081
  5. Step 5: Solve for x
    x = 783,496,081/19,156
  6. Step 6: Final answer
    x = 40,900.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.