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Finding the Third Proportional to 101,780.75 and 140,641.75

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Solution

The third proportional to 101,780.75 and 140,641.75 is: 194,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780.75 : 140,641.75 = 140,641.75 : x
  2. Step 2: Convert to fraction form
    101,780.75/140,641.75 = 140,641.75/x
  3. Step 3: Cross multiply
    101,780.75x = 140,641.75 × 140,641.75
  4. Step 4: Simplify right side
    101,780.75x = 19,780,101,843.06
  5. Step 5: Solve for x
    x = 19,780,101,843.06/101,780.75
  6. Step 6: Final answer
    x = 194,340.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.