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Finding the Third Proportional to 13,205 and 19,543

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Solution

The third proportional to 13,205 and 19,543 is: 28,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205 : 19,543 = 19,543 : x
  2. Step 2: Convert to fraction form
    13,205/19,543 = 19,543/x
  3. Step 3: Cross multiply
    13,205x = 19,543 × 19,543
  4. Step 4: Simplify right side
    13,205x = 381,928,849
  5. Step 5: Solve for x
    x = 381,928,849/13,205
  6. Step 6: Final answer
    x = 28,923.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.