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Finding the Third Proportional to 204,055 and 316,738

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Solution

The third proportional to 204,055 and 316,738 is: 491,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,055 : 316,738 = 316,738 : x
  2. Step 2: Convert to fraction form
    204,055/316,738 = 316,738/x
  3. Step 3: Cross multiply
    204,055x = 316,738 × 316,738
  4. Step 4: Simplify right side
    204,055x = 100,322,960,644
  5. Step 5: Solve for x
    x = 100,322,960,644/204,055
  6. Step 6: Final answer
    x = 491,646.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.