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Finding the Third Proportional to 100,629 and 219,917.25

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Solution

The third proportional to 100,629 and 219,917.25 is: 480,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,629 : 219,917.25 = 219,917.25 : x
  2. Step 2: Convert to fraction form
    100,629/219,917.25 = 219,917.25/x
  3. Step 3: Cross multiply
    100,629x = 219,917.25 × 219,917.25
  4. Step 4: Simplify right side
    100,629x = 48,363,596,847.56
  5. Step 5: Solve for x
    x = 48,363,596,847.56/100,629
  6. Step 6: Final answer
    x = 480,612.91

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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.