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Finding the Third Proportional to 49,110 and 109,101

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Solution

The third proportional to 49,110 and 109,101 is: 242,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,110 : 109,101 = 109,101 : x
  2. Step 2: Convert to fraction form
    49,110/109,101 = 109,101/x
  3. Step 3: Cross multiply
    49,110x = 109,101 × 109,101
  4. Step 4: Simplify right side
    49,110x = 11,903,028,201
  5. Step 5: Solve for x
    x = 11,903,028,201/49,110
  6. Step 6: Final answer
    x = 242,374.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.