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Finding the Third Proportional to 205,002 and 311,652

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Solution

The third proportional to 205,002 and 311,652 is: 473,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,002 : 311,652 = 311,652 : x
  2. Step 2: Convert to fraction form
    205,002/311,652 = 311,652/x
  3. Step 3: Cross multiply
    205,002x = 311,652 × 311,652
  4. Step 4: Simplify right side
    205,002x = 97,126,969,104
  5. Step 5: Solve for x
    x = 97,126,969,104/205,002
  6. Step 6: Final answer
    x = 473,785.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.