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Finding the Third Proportional to 10,905 and 23,236.50

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Solution

The third proportional to 10,905 and 23,236.50 is: 49,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905 : 23,236.50 = 23,236.50 : x
  2. Step 2: Convert to fraction form
    10,905/23,236.50 = 23,236.50/x
  3. Step 3: Cross multiply
    10,905x = 23,236.50 × 23,236.50
  4. Step 4: Simplify right side
    10,905x = 539,934,932.25
  5. Step 5: Solve for x
    x = 539,934,932.25/10,905
  6. Step 6: Final answer
    x = 49,512.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.