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Finding the Third Proportional to 13,473 and 20,680.31

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Solution

The third proportional to 13,473 and 20,680.31 is: 31,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473 : 20,680.31 = 20,680.31 : x
  2. Step 2: Convert to fraction form
    13,473/20,680.31 = 20,680.31/x
  3. Step 3: Cross multiply
    13,473x = 20,680.31 × 20,680.31
  4. Step 4: Simplify right side
    13,473x = 427,675,325.10
  5. Step 5: Solve for x
    x = 427,675,325.10/13,473
  6. Step 6: Final answer
    x = 31,743.14

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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.