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Finding the Third Proportional to 156,622 and 343,861

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Solution

The third proportional to 156,622 and 343,861 is: 754,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,622 : 343,861 = 343,861 : x
  2. Step 2: Convert to fraction form
    156,622/343,861 = 343,861/x
  3. Step 3: Cross multiply
    156,622x = 343,861 × 343,861
  4. Step 4: Simplify right side
    156,622x = 118,240,387,321
  5. Step 5: Solve for x
    x = 118,240,387,321/156,622
  6. Step 6: Final answer
    x = 754,941.12

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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.