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Finding the Third Proportional to 100,825.66 and 219,432.16

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Solution

The third proportional to 100,825.66 and 219,432.16 is: 477,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,825.66 : 219,432.16 = 219,432.16 : x
  2. Step 2: Convert to fraction form
    100,825.66/219,432.16 = 219,432.16/x
  3. Step 3: Cross multiply
    100,825.66x = 219,432.16 × 219,432.16
  4. Step 4: Simplify right side
    100,825.66x = 48,150,474,625.15
  5. Step 5: Solve for x
    x = 48,150,474,625.15/100,825.66
  6. Step 6: Final answer
    x = 477,561.69

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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.