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Finding the Third Proportional to 156,939 and 343,221

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Solution

The third proportional to 156,939 and 343,221 is: 750,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,939 : 343,221 = 343,221 : x
  2. Step 2: Convert to fraction form
    156,939/343,221 = 343,221/x
  3. Step 3: Cross multiply
    156,939x = 343,221 × 343,221
  4. Step 4: Simplify right side
    156,939x = 117,800,654,841
  5. Step 5: Solve for x
    x = 117,800,654,841/156,939
  6. Step 6: Final answer
    x = 750,614.28

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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.