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Finding the Third Proportional to 138,152.25 and 207,741.25

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Solution

The third proportional to 138,152.25 and 207,741.25 is: 312,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,152.25 : 207,741.25 = 207,741.25 : x
  2. Step 2: Convert to fraction form
    138,152.25/207,741.25 = 207,741.25/x
  3. Step 3: Cross multiply
    138,152.25x = 207,741.25 × 207,741.25
  4. Step 4: Simplify right side
    138,152.25x = 43,156,426,951.56
  5. Step 5: Solve for x
    x = 43,156,426,951.56/138,152.25
  6. Step 6: Final answer
    x = 312,383.09

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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.