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Finding the Third Proportional to 156,638 and 343,894

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Solution

The third proportional to 156,638 and 343,894 is: 755,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,638 : 343,894 = 343,894 : x
  2. Step 2: Convert to fraction form
    156,638/343,894 = 343,894/x
  3. Step 3: Cross multiply
    156,638x = 343,894 × 343,894
  4. Step 4: Simplify right side
    156,638x = 118,263,083,236
  5. Step 5: Solve for x
    x = 118,263,083,236/156,638
  6. Step 6: Final answer
    x = 755,008.89

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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.