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Finding the Third Proportional to 156,851 and 339,536

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Solution

The third proportional to 156,851 and 339,536 is: 734,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,851 : 339,536 = 339,536 : x
  2. Step 2: Convert to fraction form
    156,851/339,536 = 339,536/x
  3. Step 3: Cross multiply
    156,851x = 339,536 × 339,536
  4. Step 4: Simplify right side
    156,851x = 115,284,695,296
  5. Step 5: Solve for x
    x = 115,284,695,296/156,851
  6. Step 6: Final answer
    x = 734,994.97

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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.