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Finding the Third Proportional to 100,491.05 and 220,671.42

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Solution

The third proportional to 100,491.05 and 220,671.42 is: 484,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,491.05 : 220,671.42 = 220,671.42 : x
  2. Step 2: Convert to fraction form
    100,491.05/220,671.42 = 220,671.42/x
  3. Step 3: Cross multiply
    100,491.05x = 220,671.42 × 220,671.42
  4. Step 4: Simplify right side
    100,491.05x = 48,695,876,432.33
  5. Step 5: Solve for x
    x = 48,695,876,432.33/100,491.05
  6. Step 6: Final answer
    x = 484,579.25

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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.