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Finding the Third Proportional to 203,889.38 and 479,712.38

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Solution

The third proportional to 203,889.38 and 479,712.38 is: 1,128,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,889.38 : 479,712.38 = 479,712.38 : x
  2. Step 2: Convert to fraction form
    203,889.38/479,712.38 = 479,712.38/x
  3. Step 3: Cross multiply
    203,889.38x = 479,712.38 × 479,712.38
  4. Step 4: Simplify right side
    203,889.38x = 230,123,962,728.14
  5. Step 5: Solve for x
    x = 230,123,962,728.14/203,889.38
  6. Step 6: Final answer
    x = 1,128,670.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.