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Finding the Third Proportional to 156,379 and 343,205

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Solution

The third proportional to 156,379 and 343,205 is: 753,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,379 : 343,205 = 343,205 : x
  2. Step 2: Convert to fraction form
    156,379/343,205 = 343,205/x
  3. Step 3: Cross multiply
    156,379x = 343,205 × 343,205
  4. Step 4: Simplify right side
    156,379x = 117,789,672,025
  5. Step 5: Solve for x
    x = 117,789,672,025/156,379
  6. Step 6: Final answer
    x = 753,232.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.