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Finding the Third Proportional to 69,001.88 and 140,541.19

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Solution

The third proportional to 69,001.88 and 140,541.19 is: 286,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,001.88 : 140,541.19 = 140,541.19 : x
  2. Step 2: Convert to fraction form
    69,001.88/140,541.19 = 140,541.19/x
  3. Step 3: Cross multiply
    69,001.88x = 140,541.19 × 140,541.19
  4. Step 4: Simplify right side
    69,001.88x = 19,751,825,383.91
  5. Step 5: Solve for x
    x = 19,751,825,383.91/69,001.88
  6. Step 6: Final answer
    x = 286,250.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.