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Finding the Third Proportional to 111,645 and 159,165

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Solution

The third proportional to 111,645 and 159,165 is: 226,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,645 : 159,165 = 159,165 : x
  2. Step 2: Convert to fraction form
    111,645/159,165 = 159,165/x
  3. Step 3: Cross multiply
    111,645x = 159,165 × 159,165
  4. Step 4: Simplify right side
    111,645x = 25,333,497,225
  5. Step 5: Solve for x
    x = 25,333,497,225/111,645
  6. Step 6: Final answer
    x = 226,911.17

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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.