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Finding the Third Proportional to 106,540.50 and 159,076.50

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Solution

The third proportional to 106,540.50 and 159,076.50 is: 237,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.50 : 159,076.50 = 159,076.50 : x
  2. Step 2: Convert to fraction form
    106,540.50/159,076.50 = 159,076.50/x
  3. Step 3: Cross multiply
    106,540.50x = 159,076.50 × 159,076.50
  4. Step 4: Simplify right side
    106,540.50x = 25,305,332,852.25
  5. Step 5: Solve for x
    x = 25,305,332,852.25/106,540.50
  6. Step 6: Final answer
    x = 237,518.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.