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Finding the Third Proportional to 100,170 and 220,428

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Solution

The third proportional to 100,170 and 220,428 is: 485,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,170 : 220,428 = 220,428 : x
  2. Step 2: Convert to fraction form
    100,170/220,428 = 220,428/x
  3. Step 3: Cross multiply
    100,170x = 220,428 × 220,428
  4. Step 4: Simplify right side
    100,170x = 48,588,503,184
  5. Step 5: Solve for x
    x = 48,588,503,184/100,170
  6. Step 6: Final answer
    x = 485,060.43

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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.