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Finding the Third Proportional to 161,427 and 318,711

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Solution

The third proportional to 161,427 and 318,711 is: 629,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,427 : 318,711 = 318,711 : x
  2. Step 2: Convert to fraction form
    161,427/318,711 = 318,711/x
  3. Step 3: Cross multiply
    161,427x = 318,711 × 318,711
  4. Step 4: Simplify right side
    161,427x = 101,576,701,521
  5. Step 5: Solve for x
    x = 101,576,701,521/161,427
  6. Step 6: Final answer
    x = 629,242.33

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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.