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Finding the Third Proportional to 111,509 and 164,311

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Solution

The third proportional to 111,509 and 164,311 is: 242,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,509 : 164,311 = 164,311 : x
  2. Step 2: Convert to fraction form
    111,509/164,311 = 164,311/x
  3. Step 3: Cross multiply
    111,509x = 164,311 × 164,311
  4. Step 4: Simplify right side
    111,509x = 26,998,104,721
  5. Step 5: Solve for x
    x = 26,998,104,721/111,509
  6. Step 6: Final answer
    x = 242,115.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.