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Finding the Third Proportional to 99,771.75 and 215,379

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Solution

The third proportional to 99,771.75 and 215,379 is: 464,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771.75 : 215,379 = 215,379 : x
  2. Step 2: Convert to fraction form
    99,771.75/215,379 = 215,379/x
  3. Step 3: Cross multiply
    99,771.75x = 215,379 × 215,379
  4. Step 4: Simplify right side
    99,771.75x = 46,388,113,641
  5. Step 5: Solve for x
    x = 46,388,113,641/99,771.75
  6. Step 6: Final answer
    x = 464,942.37

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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.