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Finding the Third Proportional to 102,171 and 218,310

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Solution

The third proportional to 102,171 and 218,310 is: 466,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,171 : 218,310 = 218,310 : x
  2. Step 2: Convert to fraction form
    102,171/218,310 = 218,310/x
  3. Step 3: Cross multiply
    102,171x = 218,310 × 218,310
  4. Step 4: Simplify right side
    102,171x = 47,659,256,100
  5. Step 5: Solve for x
    x = 47,659,256,100/102,171
  6. Step 6: Final answer
    x = 466,465.59

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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.