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Finding the Third Proportional to 13,253.19 and 20,304.50

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Solution

The third proportional to 13,253.19 and 20,304.50 is: 31,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.19 : 20,304.50 = 20,304.50 : x
  2. Step 2: Convert to fraction form
    13,253.19/20,304.50 = 20,304.50/x
  3. Step 3: Cross multiply
    13,253.19x = 20,304.50 × 20,304.50
  4. Step 4: Simplify right side
    13,253.19x = 412,272,720.25
  5. Step 5: Solve for x
    x = 412,272,720.25/13,253.19
  6. Step 6: Final answer
    x = 31,107.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.