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Finding the Third Proportional to 102,143 and 218,182

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Solution

The third proportional to 102,143 and 218,182 is: 466,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143 : 218,182 = 218,182 : x
  2. Step 2: Convert to fraction form
    102,143/218,182 = 218,182/x
  3. Step 3: Cross multiply
    102,143x = 218,182 × 218,182
  4. Step 4: Simplify right side
    102,143x = 47,603,385,124
  5. Step 5: Solve for x
    x = 47,603,385,124/102,143
  6. Step 6: Final answer
    x = 466,046.48

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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.