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Finding the Third Proportional to 138,240 and 206,408.25

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Solution

The third proportional to 138,240 and 206,408.25 is: 308,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,240 : 206,408.25 = 206,408.25 : x
  2. Step 2: Convert to fraction form
    138,240/206,408.25 = 206,408.25/x
  3. Step 3: Cross multiply
    138,240x = 206,408.25 × 206,408.25
  4. Step 4: Simplify right side
    138,240x = 42,604,365,668.06
  5. Step 5: Solve for x
    x = 42,604,365,668.06/138,240
  6. Step 6: Final answer
    x = 308,191.30

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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.