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Finding the Third Proportional to 51,133.50 and 104,742

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Solution

The third proportional to 51,133.50 and 104,742 is: 214,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,133.50 : 104,742 = 104,742 : x
  2. Step 2: Convert to fraction form
    51,133.50/104,742 = 104,742/x
  3. Step 3: Cross multiply
    51,133.50x = 104,742 × 104,742
  4. Step 4: Simplify right side
    51,133.50x = 10,970,886,564
  5. Step 5: Solve for x
    x = 10,970,886,564/51,133.50
  6. Step 6: Final answer
    x = 214,553.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.