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Finding the Third Proportional to 156,970 and 339,212

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Solution

The third proportional to 156,970 and 339,212 is: 733,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970 : 339,212 = 339,212 : x
  2. Step 2: Convert to fraction form
    156,970/339,212 = 339,212/x
  3. Step 3: Cross multiply
    156,970x = 339,212 × 339,212
  4. Step 4: Simplify right side
    156,970x = 115,064,780,944
  5. Step 5: Solve for x
    x = 115,064,780,944/156,970
  6. Step 6: Final answer
    x = 733,036.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.