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Finding the Third Proportional to 100,409 and 217,348.75

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Solution

The third proportional to 100,409 and 217,348.75 is: 470,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409 : 217,348.75 = 217,348.75 : x
  2. Step 2: Convert to fraction form
    100,409/217,348.75 = 217,348.75/x
  3. Step 3: Cross multiply
    100,409x = 217,348.75 × 217,348.75
  4. Step 4: Simplify right side
    100,409x = 47,240,479,126.56
  5. Step 5: Solve for x
    x = 47,240,479,126.56/100,409
  6. Step 6: Final answer
    x = 470,480.53

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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.