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Finding the Third Proportional to 156,408 and 343,922

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Solution

The third proportional to 156,408 and 343,922 is: 756,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,408 : 343,922 = 343,922 : x
  2. Step 2: Convert to fraction form
    156,408/343,922 = 343,922/x
  3. Step 3: Cross multiply
    156,408x = 343,922 × 343,922
  4. Step 4: Simplify right side
    156,408x = 118,282,342,084
  5. Step 5: Solve for x
    x = 118,282,342,084/156,408
  6. Step 6: Final answer
    x = 756,242.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.