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Finding the Third Proportional to 157,894 and 339,212

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Solution

The third proportional to 157,894 and 339,212 is: 728,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,894 : 339,212 = 339,212 : x
  2. Step 2: Convert to fraction form
    157,894/339,212 = 339,212/x
  3. Step 3: Cross multiply
    157,894x = 339,212 × 339,212
  4. Step 4: Simplify right side
    157,894x = 115,064,780,944
  5. Step 5: Solve for x
    x = 115,064,780,944/157,894
  6. Step 6: Final answer
    x = 728,747.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.