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Finding the Third Proportional to 4,221 and 8,709.75

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Solution

The third proportional to 4,221 and 8,709.75 is: 17,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221 : 8,709.75 = 8,709.75 : x
  2. Step 2: Convert to fraction form
    4,221/8,709.75 = 8,709.75/x
  3. Step 3: Cross multiply
    4,221x = 8,709.75 × 8,709.75
  4. Step 4: Simplify right side
    4,221x = 75,859,745.06
  5. Step 5: Solve for x
    x = 75,859,745.06/4,221
  6. Step 6: Final answer
    x = 17,971.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.