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Finding the Third Proportional to 109,717 and 242,761

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Solution

The third proportional to 109,717 and 242,761 is: 537,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717 : 242,761 = 242,761 : x
  2. Step 2: Convert to fraction form
    109,717/242,761 = 242,761/x
  3. Step 3: Cross multiply
    109,717x = 242,761 × 242,761
  4. Step 4: Simplify right side
    109,717x = 58,932,903,121
  5. Step 5: Solve for x
    x = 58,932,903,121/109,717
  6. Step 6: Final answer
    x = 537,135.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.