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Finding the Third Proportional to 100,419.75 and 221,292

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Solution

The third proportional to 100,419.75 and 221,292 is: 487,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.75 : 221,292 = 221,292 : x
  2. Step 2: Convert to fraction form
    100,419.75/221,292 = 221,292/x
  3. Step 3: Cross multiply
    100,419.75x = 221,292 × 221,292
  4. Step 4: Simplify right side
    100,419.75x = 48,970,149,264
  5. Step 5: Solve for x
    x = 48,970,149,264/100,419.75
  6. Step 6: Final answer
    x = 487,654.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.