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Finding the Third Proportional to 135,780.75 and 205,858.13

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Solution

The third proportional to 135,780.75 and 205,858.13 is: 312,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780.75 : 205,858.13 = 205,858.13 : x
  2. Step 2: Convert to fraction form
    135,780.75/205,858.13 = 205,858.13/x
  3. Step 3: Cross multiply
    135,780.75x = 205,858.13 × 205,858.13
  4. Step 4: Simplify right side
    135,780.75x = 42,377,567,628.52
  5. Step 5: Solve for x
    x = 42,377,567,628.52/135,780.75
  6. Step 6: Final answer
    x = 312,102.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.