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Finding the Third Proportional to 11,172.56 and 23,118.38

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Solution

The third proportional to 11,172.56 and 23,118.38 is: 47,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.56 : 23,118.38 = 23,118.38 : x
  2. Step 2: Convert to fraction form
    11,172.56/23,118.38 = 23,118.38/x
  3. Step 3: Cross multiply
    11,172.56x = 23,118.38 × 23,118.38
  4. Step 4: Simplify right side
    11,172.56x = 534,459,262.64
  5. Step 5: Solve for x
    x = 534,459,262.64/11,172.56
  6. Step 6: Final answer
    x = 47,836.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.