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Finding the Third Proportional to 136,536.50 and 211,993.50

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Solution

The third proportional to 136,536.50 and 211,993.50 is: 329,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,536.50 : 211,993.50 = 211,993.50 : x
  2. Step 2: Convert to fraction form
    136,536.50/211,993.50 = 211,993.50/x
  3. Step 3: Cross multiply
    136,536.50x = 211,993.50 × 211,993.50
  4. Step 4: Simplify right side
    136,536.50x = 44,941,244,042.25
  5. Step 5: Solve for x
    x = 44,941,244,042.25/136,536.50
  6. Step 6: Final answer
    x = 329,151.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.