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Finding the Third Proportional to 156,966 and 339,080

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Solution

The third proportional to 156,966 and 339,080 is: 732,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 339,080 = 339,080 : x
  2. Step 2: Convert to fraction form
    156,966/339,080 = 339,080/x
  3. Step 3: Cross multiply
    156,966x = 339,080 × 339,080
  4. Step 4: Simplify right side
    156,966x = 114,975,246,400
  5. Step 5: Solve for x
    x = 114,975,246,400/156,966
  6. Step 6: Final answer
    x = 732,485.04

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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.