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Finding the Third Proportional to 101,101.50 and 153,044.25

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Solution

The third proportional to 101,101.50 and 153,044.25 is: 231,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,101.50 : 153,044.25 = 153,044.25 : x
  2. Step 2: Convert to fraction form
    101,101.50/153,044.25 = 153,044.25/x
  3. Step 3: Cross multiply
    101,101.50x = 153,044.25 × 153,044.25
  4. Step 4: Simplify right side
    101,101.50x = 23,422,542,458.06
  5. Step 5: Solve for x
    x = 23,422,542,458.06/101,101.50
  6. Step 6: Final answer
    x = 231,673.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.