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Finding the Third Proportional to 101,790 and 133,853.25

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Solution

The third proportional to 101,790 and 133,853.25 is: 176,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,790 : 133,853.25 = 133,853.25 : x
  2. Step 2: Convert to fraction form
    101,790/133,853.25 = 133,853.25/x
  3. Step 3: Cross multiply
    101,790x = 133,853.25 × 133,853.25
  4. Step 4: Simplify right side
    101,790x = 17,916,692,535.56
  5. Step 5: Solve for x
    x = 17,916,692,535.56/101,790
  6. Step 6: Final answer
    x = 176,016.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.