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Finding the Third Proportional to 109,717 and 264,814

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Solution

The third proportional to 109,717 and 264,814 is: 639,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717 : 264,814 = 264,814 : x
  2. Step 2: Convert to fraction form
    109,717/264,814 = 264,814/x
  3. Step 3: Cross multiply
    109,717x = 264,814 × 264,814
  4. Step 4: Simplify right side
    109,717x = 70,126,454,596
  5. Step 5: Solve for x
    x = 70,126,454,596/109,717
  6. Step 6: Final answer
    x = 639,157.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.