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Finding the Third Proportional to 4,212 and 8,860

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Solution

The third proportional to 4,212 and 8,860 is: 18,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 8,860 = 8,860 : x
  2. Step 2: Convert to fraction form
    4,212/8,860 = 8,860/x
  3. Step 3: Cross multiply
    4,212x = 8,860 × 8,860
  4. Step 4: Simplify right side
    4,212x = 78,499,600
  5. Step 5: Solve for x
    x = 78,499,600/4,212
  6. Step 6: Final answer
    x = 18,637.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.