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Finding the Third Proportional to 156,416 and 343,938

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Solution

The third proportional to 156,416 and 343,938 is: 756,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,416 : 343,938 = 343,938 : x
  2. Step 2: Convert to fraction form
    156,416/343,938 = 343,938/x
  3. Step 3: Cross multiply
    156,416x = 343,938 × 343,938
  4. Step 4: Simplify right side
    156,416x = 118,293,347,844
  5. Step 5: Solve for x
    x = 118,293,347,844/156,416
  6. Step 6: Final answer
    x = 756,273.96

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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.