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Finding the Third Proportional to 156,986 and 339,120

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Solution

The third proportional to 156,986 and 339,120 is: 732,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 339,120 = 339,120 : x
  2. Step 2: Convert to fraction form
    156,986/339,120 = 339,120/x
  3. Step 3: Cross multiply
    156,986x = 339,120 × 339,120
  4. Step 4: Simplify right side
    156,986x = 115,002,374,400
  5. Step 5: Solve for x
    x = 115,002,374,400/156,986
  6. Step 6: Final answer
    x = 732,564.52

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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.