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Finding the Third Proportional to 13,822.31 and 20,746.13

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Solution

The third proportional to 13,822.31 and 20,746.13 is: 31,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.31 : 20,746.13 = 20,746.13 : x
  2. Step 2: Convert to fraction form
    13,822.31/20,746.13 = 20,746.13/x
  3. Step 3: Cross multiply
    13,822.31x = 20,746.13 × 20,746.13
  4. Step 4: Simplify right side
    13,822.31x = 430,401,702.52
  5. Step 5: Solve for x
    x = 430,401,702.52/13,822.31
  6. Step 6: Final answer
    x = 31,138.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.