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Finding the Third Proportional to 153,027.75 and 215,115.38

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Solution

The third proportional to 153,027.75 and 215,115.38 is: 302,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,027.75 : 215,115.38 = 215,115.38 : x
  2. Step 2: Convert to fraction form
    153,027.75/215,115.38 = 215,115.38/x
  3. Step 3: Cross multiply
    153,027.75x = 215,115.38 × 215,115.38
  4. Step 4: Simplify right side
    153,027.75x = 46,274,624,561.39
  5. Step 5: Solve for x
    x = 46,274,624,561.39/153,027.75
  6. Step 6: Final answer
    x = 302,393.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.