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Finding the Third Proportional to 161,425 and 318,718

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Solution

The third proportional to 161,425 and 318,718 is: 629,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,425 : 318,718 = 318,718 : x
  2. Step 2: Convert to fraction form
    161,425/318,718 = 318,718/x
  3. Step 3: Cross multiply
    161,425x = 318,718 × 318,718
  4. Step 4: Simplify right side
    161,425x = 101,581,163,524
  5. Step 5: Solve for x
    x = 101,581,163,524/161,425
  6. Step 6: Final answer
    x = 629,277.77

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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.