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Finding the Third Proportional to 156,320 and 318,164

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Solution

The third proportional to 156,320 and 318,164 is: 647,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,320 : 318,164 = 318,164 : x
  2. Step 2: Convert to fraction form
    156,320/318,164 = 318,164/x
  3. Step 3: Cross multiply
    156,320x = 318,164 × 318,164
  4. Step 4: Simplify right side
    156,320x = 101,228,330,896
  5. Step 5: Solve for x
    x = 101,228,330,896/156,320
  6. Step 6: Final answer
    x = 647,571.21

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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.