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Finding the Third Proportional to 138,517.50 and 214,904.50

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Solution

The third proportional to 138,517.50 and 214,904.50 is: 333,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,517.50 : 214,904.50 = 214,904.50 : x
  2. Step 2: Convert to fraction form
    138,517.50/214,904.50 = 214,904.50/x
  3. Step 3: Cross multiply
    138,517.50x = 214,904.50 × 214,904.50
  4. Step 4: Simplify right side
    138,517.50x = 46,183,944,120.25
  5. Step 5: Solve for x
    x = 46,183,944,120.25/138,517.50
  6. Step 6: Final answer
    x = 333,415.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.