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Finding the Third Proportional to 100,851 and 220,170

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Solution

The third proportional to 100,851 and 220,170 is: 480,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,851 : 220,170 = 220,170 : x
  2. Step 2: Convert to fraction form
    100,851/220,170 = 220,170/x
  3. Step 3: Cross multiply
    100,851x = 220,170 × 220,170
  4. Step 4: Simplify right side
    100,851x = 48,474,828,900
  5. Step 5: Solve for x
    x = 48,474,828,900/100,851
  6. Step 6: Final answer
    x = 480,657.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.