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Finding the Third Proportional to 99,845.50 and 217,987

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Solution

The third proportional to 99,845.50 and 217,987 is: 475,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,845.50 : 217,987 = 217,987 : x
  2. Step 2: Convert to fraction form
    99,845.50/217,987 = 217,987/x
  3. Step 3: Cross multiply
    99,845.50x = 217,987 × 217,987
  4. Step 4: Simplify right side
    99,845.50x = 47,518,332,169
  5. Step 5: Solve for x
    x = 47,518,332,169/99,845.50
  6. Step 6: Final answer
    x = 475,918.62

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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.