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Finding the Third Proportional to 100,232 and 221,200

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Solution

The third proportional to 100,232 and 221,200 is: 488,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232 : 221,200 = 221,200 : x
  2. Step 2: Convert to fraction form
    100,232/221,200 = 221,200/x
  3. Step 3: Cross multiply
    100,232x = 221,200 × 221,200
  4. Step 4: Simplify right side
    100,232x = 48,929,440,000
  5. Step 5: Solve for x
    x = 48,929,440,000/100,232
  6. Step 6: Final answer
    x = 488,161.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.