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Finding the Third Proportional to 157,815 and 339,690

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Solution

The third proportional to 157,815 and 339,690 is: 731,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815 : 339,690 = 339,690 : x
  2. Step 2: Convert to fraction form
    157,815/339,690 = 339,690/x
  3. Step 3: Cross multiply
    157,815x = 339,690 × 339,690
  4. Step 4: Simplify right side
    157,815x = 115,389,296,100
  5. Step 5: Solve for x
    x = 115,389,296,100/157,815
  6. Step 6: Final answer
    x = 731,168.12

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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.