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Finding the Third Proportional to 159,349 and 343,242

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Solution

The third proportional to 159,349 and 343,242 is: 739,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,349 : 343,242 = 343,242 : x
  2. Step 2: Convert to fraction form
    159,349/343,242 = 343,242/x
  3. Step 3: Cross multiply
    159,349x = 343,242 × 343,242
  4. Step 4: Simplify right side
    159,349x = 117,815,070,564
  5. Step 5: Solve for x
    x = 117,815,070,564/159,349
  6. Step 6: Final answer
    x = 739,352.43

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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.