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Finding the Third Proportional to 156,955 and 339,059

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Solution

The third proportional to 156,955 and 339,059 is: 732,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,955 : 339,059 = 339,059 : x
  2. Step 2: Convert to fraction form
    156,955/339,059 = 339,059/x
  3. Step 3: Cross multiply
    156,955x = 339,059 × 339,059
  4. Step 4: Simplify right side
    156,955x = 114,961,005,481
  5. Step 5: Solve for x
    x = 114,961,005,481/156,955
  6. Step 6: Final answer
    x = 732,445.64

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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.