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Finding the Third Proportional to 157,514 and 339,915

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Solution

The third proportional to 157,514 and 339,915 is: 733,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,514 : 339,915 = 339,915 : x
  2. Step 2: Convert to fraction form
    157,514/339,915 = 339,915/x
  3. Step 3: Cross multiply
    157,514x = 339,915 × 339,915
  4. Step 4: Simplify right side
    157,514x = 115,542,207,225
  5. Step 5: Solve for x
    x = 115,542,207,225/157,514
  6. Step 6: Final answer
    x = 733,536.11

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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.