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Finding the Third Proportional to 100,839.50 and 220,018

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Solution

The third proportional to 100,839.50 and 220,018 is: 480,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,839.50 : 220,018 = 220,018 : x
  2. Step 2: Convert to fraction form
    100,839.50/220,018 = 220,018/x
  3. Step 3: Cross multiply
    100,839.50x = 220,018 × 220,018
  4. Step 4: Simplify right side
    100,839.50x = 48,407,920,324
  5. Step 5: Solve for x
    x = 48,407,920,324/100,839.50
  6. Step 6: Final answer
    x = 480,049.19

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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.