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Finding the Third Proportional to 99,756 and 215,337

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Solution

The third proportional to 99,756 and 215,337 is: 464,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,756 : 215,337 = 215,337 : x
  2. Step 2: Convert to fraction form
    99,756/215,337 = 215,337/x
  3. Step 3: Cross multiply
    99,756x = 215,337 × 215,337
  4. Step 4: Simplify right side
    99,756x = 46,370,023,569
  5. Step 5: Solve for x
    x = 46,370,023,569/99,756
  6. Step 6: Final answer
    x = 464,834.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.