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Finding the Third Proportional to 9,578.25 and 20,315.81

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Solution

The third proportional to 9,578.25 and 20,315.81 is: 43,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.25 : 20,315.81 = 20,315.81 : x
  2. Step 2: Convert to fraction form
    9,578.25/20,315.81 = 20,315.81/x
  3. Step 3: Cross multiply
    9,578.25x = 20,315.81 × 20,315.81
  4. Step 4: Simplify right side
    9,578.25x = 412,732,237.54
  5. Step 5: Solve for x
    x = 412,732,237.54/9,578.25
  6. Step 6: Final answer
    x = 43,090.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.