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Finding the Third Proportional to 90,821.25 and 136,262.25

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Solution

The third proportional to 90,821.25 and 136,262.25 is: 204,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,821.25 : 136,262.25 = 136,262.25 : x
  2. Step 2: Convert to fraction form
    90,821.25/136,262.25 = 136,262.25/x
  3. Step 3: Cross multiply
    90,821.25x = 136,262.25 × 136,262.25
  4. Step 4: Simplify right side
    90,821.25x = 18,567,400,775.06
  5. Step 5: Solve for x
    x = 18,567,400,775.06/90,821.25
  6. Step 6: Final answer
    x = 204,438.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.