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Finding the Third Proportional to 100,432 and 218,356

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Solution

The third proportional to 100,432 and 218,356 is: 474,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432 : 218,356 = 218,356 : x
  2. Step 2: Convert to fraction form
    100,432/218,356 = 218,356/x
  3. Step 3: Cross multiply
    100,432x = 218,356 × 218,356
  4. Step 4: Simplify right side
    100,432x = 47,679,342,736
  5. Step 5: Solve for x
    x = 47,679,342,736/100,432
  6. Step 6: Final answer
    x = 474,742.54

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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.