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Finding the Third Proportional to 156,121.50 and 323,319

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Solution

The third proportional to 156,121.50 and 323,319 is: 669,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,121.50 : 323,319 = 323,319 : x
  2. Step 2: Convert to fraction form
    156,121.50/323,319 = 323,319/x
  3. Step 3: Cross multiply
    156,121.50x = 323,319 × 323,319
  4. Step 4: Simplify right side
    156,121.50x = 104,535,175,761
  5. Step 5: Solve for x
    x = 104,535,175,761/156,121.50
  6. Step 6: Final answer
    x = 669,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.