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Finding the Third Proportional to 137,177 and 206,129.50

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Solution

The third proportional to 137,177 and 206,129.50 is: 309,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,177 : 206,129.50 = 206,129.50 : x
  2. Step 2: Convert to fraction form
    137,177/206,129.50 = 206,129.50/x
  3. Step 3: Cross multiply
    137,177x = 206,129.50 × 206,129.50
  4. Step 4: Simplify right side
    137,177x = 42,489,370,770.25
  5. Step 5: Solve for x
    x = 42,489,370,770.25/137,177
  6. Step 6: Final answer
    x = 309,741.22

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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.