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Finding the Third Proportional to 136,505.25 and 215,844.75

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Solution

The third proportional to 136,505.25 and 215,844.75 is: 341,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,505.25 : 215,844.75 = 215,844.75 : x
  2. Step 2: Convert to fraction form
    136,505.25/215,844.75 = 215,844.75/x
  3. Step 3: Cross multiply
    136,505.25x = 215,844.75 × 215,844.75
  4. Step 4: Simplify right side
    136,505.25x = 46,588,956,102.56
  5. Step 5: Solve for x
    x = 46,588,956,102.56/136,505.25
  6. Step 6: Final answer
    x = 341,297.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.