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Finding the Third Proportional to 156,409 and 343,921

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Solution

The third proportional to 156,409 and 343,921 is: 756,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,409 : 343,921 = 343,921 : x
  2. Step 2: Convert to fraction form
    156,409/343,921 = 343,921/x
  3. Step 3: Cross multiply
    156,409x = 343,921 × 343,921
  4. Step 4: Simplify right side
    156,409x = 118,281,654,241
  5. Step 5: Solve for x
    x = 118,281,654,241/156,409
  6. Step 6: Final answer
    x = 756,233.04

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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.