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Finding the Third Proportional to 18,309 and 24,871.50

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Solution

The third proportional to 18,309 and 24,871.50 is: 33,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309 : 24,871.50 = 24,871.50 : x
  2. Step 2: Convert to fraction form
    18,309/24,871.50 = 24,871.50/x
  3. Step 3: Cross multiply
    18,309x = 24,871.50 × 24,871.50
  4. Step 4: Simplify right side
    18,309x = 618,591,512.25
  5. Step 5: Solve for x
    x = 618,591,512.25/18,309
  6. Step 6: Final answer
    x = 33,786.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.