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Finding the Third Proportional to 4,287.94 and 9,170.16

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Solution

The third proportional to 4,287.94 and 9,170.16 is: 19,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.94 : 9,170.16 = 9,170.16 : x
  2. Step 2: Convert to fraction form
    4,287.94/9,170.16 = 9,170.16/x
  3. Step 3: Cross multiply
    4,287.94x = 9,170.16 × 9,170.16
  4. Step 4: Simplify right side
    4,287.94x = 84,091,765.65
  5. Step 5: Solve for x
    x = 84,091,765.65/4,287.94
  6. Step 6: Final answer
    x = 19,611.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.