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Finding the Third Proportional to 204,493.50 and 312,276.38

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Solution

The third proportional to 204,493.50 and 312,276.38 is: 476,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493.50 : 312,276.38 = 312,276.38 : x
  2. Step 2: Convert to fraction form
    204,493.50/312,276.38 = 312,276.38/x
  3. Step 3: Cross multiply
    204,493.50x = 312,276.38 × 312,276.38
  4. Step 4: Simplify right side
    204,493.50x = 97,516,534,383.14
  5. Step 5: Solve for x
    x = 97,516,534,383.14/204,493.50
  6. Step 6: Final answer
    x = 476,868.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.