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Finding the Third Proportional to 156,322 and 318,168

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Solution

The third proportional to 156,322 and 318,168 is: 647,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,322 : 318,168 = 318,168 : x
  2. Step 2: Convert to fraction form
    156,322/318,168 = 318,168/x
  3. Step 3: Cross multiply
    156,322x = 318,168 × 318,168
  4. Step 4: Simplify right side
    156,322x = 101,230,876,224
  5. Step 5: Solve for x
    x = 101,230,876,224/156,322
  6. Step 6: Final answer
    x = 647,579.20

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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.