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Finding the Third Proportional to 215,237.25 and 300,917.53

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Solution

The third proportional to 215,237.25 and 300,917.53 is: 420,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,237.25 : 300,917.53 = 300,917.53 : x
  2. Step 2: Convert to fraction form
    215,237.25/300,917.53 = 300,917.53/x
  3. Step 3: Cross multiply
    215,237.25x = 300,917.53 × 300,917.53
  4. Step 4: Simplify right side
    215,237.25x = 90,551,360,613.59
  5. Step 5: Solve for x
    x = 90,551,360,613.59/215,237.25
  6. Step 6: Final answer
    x = 420,704.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.