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Finding the Third Proportional to 10,119.38 and 23,635.13

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Solution

The third proportional to 10,119.38 and 23,635.13 is: 55,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.38 : 23,635.13 = 23,635.13 : x
  2. Step 2: Convert to fraction form
    10,119.38/23,635.13 = 23,635.13/x
  3. Step 3: Cross multiply
    10,119.38x = 23,635.13 × 23,635.13
  4. Step 4: Simplify right side
    10,119.38x = 558,619,133.77
  5. Step 5: Solve for x
    x = 558,619,133.77/10,119.38
  6. Step 6: Final answer
    x = 55,202.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.