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Finding the Third Proportional to 156,309 and 323,337

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Solution

The third proportional to 156,309 and 323,337 is: 668,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,309 : 323,337 = 323,337 : x
  2. Step 2: Convert to fraction form
    156,309/323,337 = 323,337/x
  3. Step 3: Cross multiply
    156,309x = 323,337 × 323,337
  4. Step 4: Simplify right side
    156,309x = 104,546,815,569
  5. Step 5: Solve for x
    x = 104,546,815,569/156,309
  6. Step 6: Final answer
    x = 668,847.06

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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.