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Finding the Third Proportional to 156,007 and 231,715

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Solution

The third proportional to 156,007 and 231,715 is: 344,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,007 : 231,715 = 231,715 : x
  2. Step 2: Convert to fraction form
    156,007/231,715 = 231,715/x
  3. Step 3: Cross multiply
    156,007x = 231,715 × 231,715
  4. Step 4: Simplify right side
    156,007x = 53,691,841,225
  5. Step 5: Solve for x
    x = 53,691,841,225/156,007
  6. Step 6: Final answer
    x = 344,163.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.