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Finding the Third Proportional to 100,766 and 213,520

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Solution

The third proportional to 100,766 and 213,520 is: 452,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,766 : 213,520 = 213,520 : x
  2. Step 2: Convert to fraction form
    100,766/213,520 = 213,520/x
  3. Step 3: Cross multiply
    100,766x = 213,520 × 213,520
  4. Step 4: Simplify right side
    100,766x = 45,590,790,400
  5. Step 5: Solve for x
    x = 45,590,790,400/100,766
  6. Step 6: Final answer
    x = 452,442.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.