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Finding the Third Proportional to 161,422 and 318,712

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Solution

The third proportional to 161,422 and 318,712 is: 629,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,422 : 318,712 = 318,712 : x
  2. Step 2: Convert to fraction form
    161,422/318,712 = 318,712/x
  3. Step 3: Cross multiply
    161,422x = 318,712 × 318,712
  4. Step 4: Simplify right side
    161,422x = 101,577,338,944
  5. Step 5: Solve for x
    x = 101,577,338,944/161,422
  6. Step 6: Final answer
    x = 629,265.77

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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.