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Finding the Third Proportional to 100,414 and 218,320

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Solution

The third proportional to 100,414 and 218,320 is: 474,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414 : 218,320 = 218,320 : x
  2. Step 2: Convert to fraction form
    100,414/218,320 = 218,320/x
  3. Step 3: Cross multiply
    100,414x = 218,320 × 218,320
  4. Step 4: Simplify right side
    100,414x = 47,663,622,400
  5. Step 5: Solve for x
    x = 47,663,622,400/100,414
  6. Step 6: Final answer
    x = 474,671.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.