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Finding the Third Proportional to 100,220.25 and 154,110.75

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Solution

The third proportional to 100,220.25 and 154,110.75 is: 236,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220.25 : 154,110.75 = 154,110.75 : x
  2. Step 2: Convert to fraction form
    100,220.25/154,110.75 = 154,110.75/x
  3. Step 3: Cross multiply
    100,220.25x = 154,110.75 × 154,110.75
  4. Step 4: Simplify right side
    100,220.25x = 23,750,123,265.56
  5. Step 5: Solve for x
    x = 23,750,123,265.56/100,220.25
  6. Step 6: Final answer
    x = 236,979.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.