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Finding the Third Proportional to 30,825.56 and 67,236.19

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Solution

The third proportional to 30,825.56 and 67,236.19 is: 146,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.56 : 67,236.19 = 67,236.19 : x
  2. Step 2: Convert to fraction form
    30,825.56/67,236.19 = 67,236.19/x
  3. Step 3: Cross multiply
    30,825.56x = 67,236.19 × 67,236.19
  4. Step 4: Simplify right side
    30,825.56x = 4,520,704,909.54
  5. Step 5: Solve for x
    x = 4,520,704,909.54/30,825.56
  6. Step 6: Final answer
    x = 146,654.42

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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.