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Finding the Third Proportional to 49,666 and 106,052

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Solution

The third proportional to 49,666 and 106,052 is: 226,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,666 : 106,052 = 106,052 : x
  2. Step 2: Convert to fraction form
    49,666/106,052 = 106,052/x
  3. Step 3: Cross multiply
    49,666x = 106,052 × 106,052
  4. Step 4: Simplify right side
    49,666x = 11,247,026,704
  5. Step 5: Solve for x
    x = 11,247,026,704/49,666
  6. Step 6: Final answer
    x = 226,453.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.