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Finding the Third Proportional to 100,390 and 218,274

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Solution

The third proportional to 100,390 and 218,274 is: 474,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390 : 218,274 = 218,274 : x
  2. Step 2: Convert to fraction form
    100,390/218,274 = 218,274/x
  3. Step 3: Cross multiply
    100,390x = 218,274 × 218,274
  4. Step 4: Simplify right side
    100,390x = 47,643,539,076
  5. Step 5: Solve for x
    x = 47,643,539,076/100,390
  6. Step 6: Final answer
    x = 474,584.51

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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.