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Finding the Third Proportional to 100,912 and 219,296

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Solution

The third proportional to 100,912 and 219,296 is: 476,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912 : 219,296 = 219,296 : x
  2. Step 2: Convert to fraction form
    100,912/219,296 = 219,296/x
  3. Step 3: Cross multiply
    100,912x = 219,296 × 219,296
  4. Step 4: Simplify right side
    100,912x = 48,090,735,616
  5. Step 5: Solve for x
    x = 48,090,735,616/100,912
  6. Step 6: Final answer
    x = 476,561.12

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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.