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Finding the Third Proportional to 4,389.19 and 9,507.09

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Solution

The third proportional to 4,389.19 and 9,507.09 is: 20,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.19 : 9,507.09 = 9,507.09 : x
  2. Step 2: Convert to fraction form
    4,389.19/9,507.09 = 9,507.09/x
  3. Step 3: Cross multiply
    4,389.19x = 9,507.09 × 9,507.09
  4. Step 4: Simplify right side
    4,389.19x = 90,384,831.57
  5. Step 5: Solve for x
    x = 90,384,831.57/4,389.19
  6. Step 6: Final answer
    x = 20,592.61

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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.