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Finding the Third Proportional to 13,333 and 20,269.50

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Solution

The third proportional to 13,333 and 20,269.50 is: 30,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333 : 20,269.50 = 20,269.50 : x
  2. Step 2: Convert to fraction form
    13,333/20,269.50 = 20,269.50/x
  3. Step 3: Cross multiply
    13,333x = 20,269.50 × 20,269.50
  4. Step 4: Simplify right side
    13,333x = 410,852,630.25
  5. Step 5: Solve for x
    x = 410,852,630.25/13,333
  6. Step 6: Final answer
    x = 30,814.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.