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Finding the Third Proportional to 42,424 and 98,626

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Solution

The third proportional to 42,424 and 98,626 is: 229,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,424 : 98,626 = 98,626 : x
  2. Step 2: Convert to fraction form
    42,424/98,626 = 98,626/x
  3. Step 3: Cross multiply
    42,424x = 98,626 × 98,626
  4. Step 4: Simplify right side
    42,424x = 9,727,087,876
  5. Step 5: Solve for x
    x = 9,727,087,876/42,424
  6. Step 6: Final answer
    x = 229,282.67

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.