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Finding the Third Proportional to 205,012 and 318,174

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Solution

The third proportional to 205,012 and 318,174 is: 493,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,012 : 318,174 = 318,174 : x
  2. Step 2: Convert to fraction form
    205,012/318,174 = 318,174/x
  3. Step 3: Cross multiply
    205,012x = 318,174 × 318,174
  4. Step 4: Simplify right side
    205,012x = 101,234,694,276
  5. Step 5: Solve for x
    x = 101,234,694,276/205,012
  6. Step 6: Final answer
    x = 493,798.87

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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.