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Finding the Third Proportional to 10,228.78 and 23,848.17

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Solution

The third proportional to 10,228.78 and 23,848.17 is: 55,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.78 : 23,848.17 = 23,848.17 : x
  2. Step 2: Convert to fraction form
    10,228.78/23,848.17 = 23,848.17/x
  3. Step 3: Cross multiply
    10,228.78x = 23,848.17 × 23,848.17
  4. Step 4: Simplify right side
    10,228.78x = 568,735,301.78
  5. Step 5: Solve for x
    x = 568,735,301.78/10,228.78
  6. Step 6: Final answer
    x = 55,601.47

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.