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Finding the Third Proportional to 13,730 and 18,649

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Solution

The third proportional to 13,730 and 18,649 is: 25,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730 : 18,649 = 18,649 : x
  2. Step 2: Convert to fraction form
    13,730/18,649 = 18,649/x
  3. Step 3: Cross multiply
    13,730x = 18,649 × 18,649
  4. Step 4: Simplify right side
    13,730x = 347,785,201
  5. Step 5: Solve for x
    x = 347,785,201/13,730
  6. Step 6: Final answer
    x = 25,330.31

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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.