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Finding the Third Proportional to 90,852.89 and 135,391.50

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Solution

The third proportional to 90,852.89 and 135,391.50 is: 201,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,852.89 : 135,391.50 = 135,391.50 : x
  2. Step 2: Convert to fraction form
    90,852.89/135,391.50 = 135,391.50/x
  3. Step 3: Cross multiply
    90,852.89x = 135,391.50 × 135,391.50
  4. Step 4: Simplify right side
    90,852.89x = 18,330,858,272.25
  5. Step 5: Solve for x
    x = 18,330,858,272.25/90,852.89
  6. Step 6: Final answer
    x = 201,764.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.