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Finding the Third Proportional to 156,909 and 339,576

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Solution

The third proportional to 156,909 and 339,576 is: 734,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909 : 339,576 = 339,576 : x
  2. Step 2: Convert to fraction form
    156,909/339,576 = 339,576/x
  3. Step 3: Cross multiply
    156,909x = 339,576 × 339,576
  4. Step 4: Simplify right side
    156,909x = 115,311,859,776
  5. Step 5: Solve for x
    x = 115,311,859,776/156,909
  6. Step 6: Final answer
    x = 734,896.40

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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.