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Finding the Third Proportional to 100,630.69 and 218,733.75

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Solution

The third proportional to 100,630.69 and 218,733.75 is: 475,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,630.69 : 218,733.75 = 218,733.75 : x
  2. Step 2: Convert to fraction form
    100,630.69/218,733.75 = 218,733.75/x
  3. Step 3: Cross multiply
    100,630.69x = 218,733.75 × 218,733.75
  4. Step 4: Simplify right side
    100,630.69x = 47,844,453,389.06
  5. Step 5: Solve for x
    x = 47,844,453,389.06/100,630.69
  6. Step 6: Final answer
    x = 475,445.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.