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Finding the Third Proportional to 100,717 and 216,824

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Solution

The third proportional to 100,717 and 216,824 is: 466,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,717 : 216,824 = 216,824 : x
  2. Step 2: Convert to fraction form
    100,717/216,824 = 216,824/x
  3. Step 3: Cross multiply
    100,717x = 216,824 × 216,824
  4. Step 4: Simplify right side
    100,717x = 47,012,646,976
  5. Step 5: Solve for x
    x = 47,012,646,976/100,717
  6. Step 6: Final answer
    x = 466,779.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.