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Finding the Third Proportional to 9,325.13 and 23,150.81

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Solution

The third proportional to 9,325.13 and 23,150.81 is: 57,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.13 : 23,150.81 = 23,150.81 : x
  2. Step 2: Convert to fraction form
    9,325.13/23,150.81 = 23,150.81/x
  3. Step 3: Cross multiply
    9,325.13x = 23,150.81 × 23,150.81
  4. Step 4: Simplify right side
    9,325.13x = 535,960,119.41
  5. Step 5: Solve for x
    x = 535,960,119.41/9,325.13
  6. Step 6: Final answer
    x = 57,474.85

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.