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Finding the Third Proportional to 156,940 and 343,021

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Solution

The third proportional to 156,940 and 343,021 is: 749,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 343,021 = 343,021 : x
  2. Step 2: Convert to fraction form
    156,940/343,021 = 343,021/x
  3. Step 3: Cross multiply
    156,940x = 343,021 × 343,021
  4. Step 4: Simplify right side
    156,940x = 117,663,406,441
  5. Step 5: Solve for x
    x = 117,663,406,441/156,940
  6. Step 6: Final answer
    x = 749,734.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.