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Finding the Third Proportional to 136,740.94 and 206,998.31

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Solution

The third proportional to 136,740.94 and 206,998.31 is: 313,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,740.94 : 206,998.31 = 206,998.31 : x
  2. Step 2: Convert to fraction form
    136,740.94/206,998.31 = 206,998.31/x
  3. Step 3: Cross multiply
    136,740.94x = 206,998.31 × 206,998.31
  4. Step 4: Simplify right side
    136,740.94x = 42,848,301,377.85
  5. Step 5: Solve for x
    x = 42,848,301,377.85/136,740.94
  6. Step 6: Final answer
    x = 313,353.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.