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Finding the Third Proportional to 61,778.88 and 135,586.25

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Solution

The third proportional to 61,778.88 and 135,586.25 is: 297,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,778.88 : 135,586.25 = 135,586.25 : x
  2. Step 2: Convert to fraction form
    61,778.88/135,586.25 = 135,586.25/x
  3. Step 3: Cross multiply
    61,778.88x = 135,586.25 × 135,586.25
  4. Step 4: Simplify right side
    61,778.88x = 18,383,631,189.06
  5. Step 5: Solve for x
    x = 18,383,631,189.06/61,778.88
  6. Step 6: Final answer
    x = 297,571.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.