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Finding the Third Proportional to 157,512 and 339,911

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Solution

The third proportional to 157,512 and 339,911 is: 733,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,512 : 339,911 = 339,911 : x
  2. Step 2: Convert to fraction form
    157,512/339,911 = 339,911/x
  3. Step 3: Cross multiply
    157,512x = 339,911 × 339,911
  4. Step 4: Simplify right side
    157,512x = 115,539,487,921
  5. Step 5: Solve for x
    x = 115,539,487,921/157,512
  6. Step 6: Final answer
    x = 733,528.16

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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.