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Finding the Third Proportional to 13,200 and 19,731

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Solution

The third proportional to 13,200 and 19,731 is: 29,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200 : 19,731 = 19,731 : x
  2. Step 2: Convert to fraction form
    13,200/19,731 = 19,731/x
  3. Step 3: Cross multiply
    13,200x = 19,731 × 19,731
  4. Step 4: Simplify right side
    13,200x = 389,312,361
  5. Step 5: Solve for x
    x = 389,312,361/13,200
  6. Step 6: Final answer
    x = 29,493.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.