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Finding the Third Proportional to 156,414 and 343,934

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Solution

The third proportional to 156,414 and 343,934 is: 756,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,414 : 343,934 = 343,934 : x
  2. Step 2: Convert to fraction form
    156,414/343,934 = 343,934/x
  3. Step 3: Cross multiply
    156,414x = 343,934 × 343,934
  4. Step 4: Simplify right side
    156,414x = 118,290,596,356
  5. Step 5: Solve for x
    x = 118,290,596,356/156,414
  6. Step 6: Final answer
    x = 756,266.04

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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.