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Finding the Third Proportional to 42,120 and 91,620.70

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Solution

The third proportional to 42,120 and 91,620.70 is: 199,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120 : 91,620.70 = 91,620.70 : x
  2. Step 2: Convert to fraction form
    42,120/91,620.70 = 91,620.70/x
  3. Step 3: Cross multiply
    42,120x = 91,620.70 × 91,620.70
  4. Step 4: Simplify right side
    42,120x = 8,394,353,241.12
  5. Step 5: Solve for x
    x = 8,394,353,241.12/42,120
  6. Step 6: Final answer
    x = 199,296.14

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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.