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Finding the Third Proportional to 100,638.75 and 217,042.69

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Solution

The third proportional to 100,638.75 and 217,042.69 is: 468,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,638.75 : 217,042.69 = 217,042.69 : x
  2. Step 2: Convert to fraction form
    100,638.75/217,042.69 = 217,042.69/x
  3. Step 3: Cross multiply
    100,638.75x = 217,042.69 × 217,042.69
  4. Step 4: Simplify right side
    100,638.75x = 47,107,528,197.22
  5. Step 5: Solve for x
    x = 47,107,528,197.22/100,638.75
  6. Step 6: Final answer
    x = 468,085.39

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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.