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Finding the Third Proportional to 99,218.25 and 217,706.63

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Solution

The third proportional to 99,218.25 and 217,706.63 is: 477,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,218.25 : 217,706.63 = 217,706.63 : x
  2. Step 2: Convert to fraction form
    99,218.25/217,706.63 = 217,706.63/x
  3. Step 3: Cross multiply
    99,218.25x = 217,706.63 × 217,706.63
  4. Step 4: Simplify right side
    99,218.25x = 47,396,174,568.89
  5. Step 5: Solve for x
    x = 47,396,174,568.89/99,218.25
  6. Step 6: Final answer
    x = 477,696.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.