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Finding the Third Proportional to 5,215 and 11,159

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Solution

The third proportional to 5,215 and 11,159 is: 23,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 11,159 = 11,159 : x
  2. Step 2: Convert to fraction form
    5,215/11,159 = 11,159/x
  3. Step 3: Cross multiply
    5,215x = 11,159 × 11,159
  4. Step 4: Simplify right side
    5,215x = 124,523,281
  5. Step 5: Solve for x
    x = 124,523,281/5,215
  6. Step 6: Final answer
    x = 23,877.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.