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Finding the Third Proportional to 156,126 and 343,356

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Solution

The third proportional to 156,126 and 343,356 is: 755,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,126 : 343,356 = 343,356 : x
  2. Step 2: Convert to fraction form
    156,126/343,356 = 343,356/x
  3. Step 3: Cross multiply
    156,126x = 343,356 × 343,356
  4. Step 4: Simplify right side
    156,126x = 117,893,342,736
  5. Step 5: Solve for x
    x = 117,893,342,736/156,126
  6. Step 6: Final answer
    x = 755,116.65

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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.