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Finding the Third Proportional to 156,326 and 318,180

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Solution

The third proportional to 156,326 and 318,180 is: 647,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,326 : 318,180 = 318,180 : x
  2. Step 2: Convert to fraction form
    156,326/318,180 = 318,180/x
  3. Step 3: Cross multiply
    156,326x = 318,180 × 318,180
  4. Step 4: Simplify right side
    156,326x = 101,238,512,400
  5. Step 5: Solve for x
    x = 101,238,512,400/156,326
  6. Step 6: Final answer
    x = 647,611.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.