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Finding the Third Proportional to 23,843 and 36,071.50

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Solution

The third proportional to 23,843 and 36,071.50 is: 54,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843 : 36,071.50 = 36,071.50 : x
  2. Step 2: Convert to fraction form
    23,843/36,071.50 = 36,071.50/x
  3. Step 3: Cross multiply
    23,843x = 36,071.50 × 36,071.50
  4. Step 4: Simplify right side
    23,843x = 1,301,153,112.25
  5. Step 5: Solve for x
    x = 1,301,153,112.25/23,843
  6. Step 6: Final answer
    x = 54,571.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.