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Finding the Third Proportional to 13,290 and 18,057

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Solution

The third proportional to 13,290 and 18,057 is: 24,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 18,057 = 18,057 : x
  2. Step 2: Convert to fraction form
    13,290/18,057 = 18,057/x
  3. Step 3: Cross multiply
    13,290x = 18,057 × 18,057
  4. Step 4: Simplify right side
    13,290x = 326,055,249
  5. Step 5: Solve for x
    x = 326,055,249/13,290
  6. Step 6: Final answer
    x = 24,533.88

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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.