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Finding the Third Proportional to 205,010 and 318,171

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Solution

The third proportional to 205,010 and 318,171 is: 493,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,010 : 318,171 = 318,171 : x
  2. Step 2: Convert to fraction form
    205,010/318,171 = 318,171/x
  3. Step 3: Cross multiply
    205,010x = 318,171 × 318,171
  4. Step 4: Simplify right side
    205,010x = 101,232,785,241
  5. Step 5: Solve for x
    x = 101,232,785,241/205,010
  6. Step 6: Final answer
    x = 493,794.38

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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.