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Finding the Third Proportional to 156,729 and 235,449

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Solution

The third proportional to 156,729 and 235,449 is: 353,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729 : 235,449 = 235,449 : x
  2. Step 2: Convert to fraction form
    156,729/235,449 = 235,449/x
  3. Step 3: Cross multiply
    156,729x = 235,449 × 235,449
  4. Step 4: Simplify right side
    156,729x = 55,436,231,601
  5. Step 5: Solve for x
    x = 55,436,231,601/156,729
  6. Step 6: Final answer
    x = 353,707.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.