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Finding the Third Proportional to 102,180 and 218,328

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Solution

The third proportional to 102,180 and 218,328 is: 466,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,180 : 218,328 = 218,328 : x
  2. Step 2: Convert to fraction form
    102,180/218,328 = 218,328/x
  3. Step 3: Cross multiply
    102,180x = 218,328 × 218,328
  4. Step 4: Simplify right side
    102,180x = 47,667,115,584
  5. Step 5: Solve for x
    x = 47,667,115,584/102,180
  6. Step 6: Final answer
    x = 466,501.42

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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.