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Finding the Third Proportional to 99,845.30 and 217,986.47

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Solution

The third proportional to 99,845.30 and 217,986.47 is: 475,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,845.30 : 217,986.47 = 217,986.47 : x
  2. Step 2: Convert to fraction form
    99,845.30/217,986.47 = 217,986.47/x
  3. Step 3: Cross multiply
    99,845.30x = 217,986.47 × 217,986.47
  4. Step 4: Simplify right side
    99,845.30x = 47,518,100,558.09
  5. Step 5: Solve for x
    x = 47,518,100,558.09/99,845.30
  6. Step 6: Final answer
    x = 475,917.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.