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Finding the Third Proportional to 19,911 and 43,515

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Solution

The third proportional to 19,911 and 43,515 is: 95,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911 : 43,515 = 43,515 : x
  2. Step 2: Convert to fraction form
    19,911/43,515 = 43,515/x
  3. Step 3: Cross multiply
    19,911x = 43,515 × 43,515
  4. Step 4: Simplify right side
    19,911x = 1,893,555,225
  5. Step 5: Solve for x
    x = 1,893,555,225/19,911
  6. Step 6: Final answer
    x = 95,100.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.