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Finding the Third Proportional to 49,410 and 108,660.38

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Solution

The third proportional to 49,410 and 108,660.38 is: 238,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,410 : 108,660.38 = 108,660.38 : x
  2. Step 2: Convert to fraction form
    49,410/108,660.38 = 108,660.38/x
  3. Step 3: Cross multiply
    49,410x = 108,660.38 × 108,660.38
  4. Step 4: Simplify right side
    49,410x = 11,807,077,095.14
  5. Step 5: Solve for x
    x = 11,807,077,095.14/49,410
  6. Step 6: Final answer
    x = 238,961.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.