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Finding the Third Proportional to 156,949 and 339,047

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Solution

The third proportional to 156,949 and 339,047 is: 732,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,949 : 339,047 = 339,047 : x
  2. Step 2: Convert to fraction form
    156,949/339,047 = 339,047/x
  3. Step 3: Cross multiply
    156,949x = 339,047 × 339,047
  4. Step 4: Simplify right side
    156,949x = 114,952,868,209
  5. Step 5: Solve for x
    x = 114,952,868,209/156,949
  6. Step 6: Final answer
    x = 732,421.79

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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.