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Finding the Third Proportional to 21,195 and 31,135

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Solution

The third proportional to 21,195 and 31,135 is: 45,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195 : 31,135 = 31,135 : x
  2. Step 2: Convert to fraction form
    21,195/31,135 = 31,135/x
  3. Step 3: Cross multiply
    21,195x = 31,135 × 31,135
  4. Step 4: Simplify right side
    21,195x = 969,388,225
  5. Step 5: Solve for x
    x = 969,388,225/21,195
  6. Step 6: Final answer
    x = 45,736.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.