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Finding the Third Proportional to 52,448 and 113,189

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Solution

The third proportional to 52,448 and 113,189 is: 244,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,448 : 113,189 = 113,189 : x
  2. Step 2: Convert to fraction form
    52,448/113,189 = 113,189/x
  3. Step 3: Cross multiply
    52,448x = 113,189 × 113,189
  4. Step 4: Simplify right side
    52,448x = 12,811,749,721
  5. Step 5: Solve for x
    x = 12,811,749,721/52,448
  6. Step 6: Final answer
    x = 244,275.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.