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Finding the Third Proportional to 100,380 and 217,302

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Solution

The third proportional to 100,380 and 217,302 is: 470,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,380 : 217,302 = 217,302 : x
  2. Step 2: Convert to fraction form
    100,380/217,302 = 217,302/x
  3. Step 3: Cross multiply
    100,380x = 217,302 × 217,302
  4. Step 4: Simplify right side
    100,380x = 47,220,159,204
  5. Step 5: Solve for x
    x = 47,220,159,204/100,380
  6. Step 6: Final answer
    x = 470,414.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.