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Finding the Third Proportional to 4,215 and 9,222.75

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Solution

The third proportional to 4,215 and 9,222.75 is: 20,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 9,222.75 = 9,222.75 : x
  2. Step 2: Convert to fraction form
    4,215/9,222.75 = 9,222.75/x
  3. Step 3: Cross multiply
    4,215x = 9,222.75 × 9,222.75
  4. Step 4: Simplify right side
    4,215x = 85,059,117.56
  5. Step 5: Solve for x
    x = 85,059,117.56/4,215
  6. Step 6: Final answer
    x = 20,180.10

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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.