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Finding the Third Proportional to 20,106 and 31,515

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Solution

The third proportional to 20,106 and 31,515 is: 49,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 31,515 = 31,515 : x
  2. Step 2: Convert to fraction form
    20,106/31,515 = 31,515/x
  3. Step 3: Cross multiply
    20,106x = 31,515 × 31,515
  4. Step 4: Simplify right side
    20,106x = 993,195,225
  5. Step 5: Solve for x
    x = 993,195,225/20,106
  6. Step 6: Final answer
    x = 49,397.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.