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Finding the Third Proportional to 111,366 and 160,905

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Solution

The third proportional to 111,366 and 160,905 is: 232,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,366 : 160,905 = 160,905 : x
  2. Step 2: Convert to fraction form
    111,366/160,905 = 160,905/x
  3. Step 3: Cross multiply
    111,366x = 160,905 × 160,905
  4. Step 4: Simplify right side
    111,366x = 25,890,419,025
  5. Step 5: Solve for x
    x = 25,890,419,025/111,366
  6. Step 6: Final answer
    x = 232,480.46

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.