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Finding the Third Proportional to 52,481 and 113,253

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Solution

The third proportional to 52,481 and 113,253 is: 244,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,481 : 113,253 = 113,253 : x
  2. Step 2: Convert to fraction form
    52,481/113,253 = 113,253/x
  3. Step 3: Cross multiply
    52,481x = 113,253 × 113,253
  4. Step 4: Simplify right side
    52,481x = 12,826,242,009
  5. Step 5: Solve for x
    x = 12,826,242,009/52,481
  6. Step 6: Final answer
    x = 244,397.82

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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.