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Finding the Third Proportional to 156,985 and 339,079

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Solution

The third proportional to 156,985 and 339,079 is: 732,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,985 : 339,079 = 339,079 : x
  2. Step 2: Convert to fraction form
    156,985/339,079 = 339,079/x
  3. Step 3: Cross multiply
    156,985x = 339,079 × 339,079
  4. Step 4: Simplify right side
    156,985x = 114,974,568,241
  5. Step 5: Solve for x
    x = 114,974,568,241/156,985
  6. Step 6: Final answer
    x = 732,392.06

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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.