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Finding the Third Proportional to 161,491 and 231,165

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Solution

The third proportional to 161,491 and 231,165 is: 330,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,491 : 231,165 = 231,165 : x
  2. Step 2: Convert to fraction form
    161,491/231,165 = 231,165/x
  3. Step 3: Cross multiply
    161,491x = 231,165 × 231,165
  4. Step 4: Simplify right side
    161,491x = 53,437,257,225
  5. Step 5: Solve for x
    x = 53,437,257,225/161,491
  6. Step 6: Final answer
    x = 330,899.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.