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Finding the Third Proportional to 111,918 and 242,761

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Solution

The third proportional to 111,918 and 242,761 is: 526,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,918 : 242,761 = 242,761 : x
  2. Step 2: Convert to fraction form
    111,918/242,761 = 242,761/x
  3. Step 3: Cross multiply
    111,918x = 242,761 × 242,761
  4. Step 4: Simplify right side
    111,918x = 58,932,903,121
  5. Step 5: Solve for x
    x = 58,932,903,121/111,918
  6. Step 6: Final answer
    x = 526,572.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.