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Finding the Third Proportional to 100,112.20 and 217,538.16

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Solution

The third proportional to 100,112.20 and 217,538.16 is: 472,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,112.20 : 217,538.16 = 217,538.16 : x
  2. Step 2: Convert to fraction form
    100,112.20/217,538.16 = 217,538.16/x
  3. Step 3: Cross multiply
    100,112.20x = 217,538.16 × 217,538.16
  4. Step 4: Simplify right side
    100,112.20x = 47,322,849,424.65
  5. Step 5: Solve for x
    x = 47,322,849,424.65/100,112.20
  6. Step 6: Final answer
    x = 472,698.11

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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.