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Finding the Third Proportional to 136,739.25 and 206,995.50

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Solution

The third proportional to 136,739.25 and 206,995.50 is: 313,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,739.25 : 206,995.50 = 206,995.50 : x
  2. Step 2: Convert to fraction form
    136,739.25/206,995.50 = 206,995.50/x
  3. Step 3: Cross multiply
    136,739.25x = 206,995.50 × 206,995.50
  4. Step 4: Simplify right side
    136,739.25x = 42,847,137,020.25
  5. Step 5: Solve for x
    x = 42,847,137,020.25/136,739.25
  6. Step 6: Final answer
    x = 313,349.22

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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.