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Finding the Third Proportional to 161,100 and 318,137

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Solution

The third proportional to 161,100 and 318,137 is: 628,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,100 : 318,137 = 318,137 : x
  2. Step 2: Convert to fraction form
    161,100/318,137 = 318,137/x
  3. Step 3: Cross multiply
    161,100x = 318,137 × 318,137
  4. Step 4: Simplify right side
    161,100x = 101,211,150,769
  5. Step 5: Solve for x
    x = 101,211,150,769/161,100
  6. Step 6: Final answer
    x = 628,250.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.