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Finding the Third Proportional to 19,350 and 27,489

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Solution

The third proportional to 19,350 and 27,489 is: 39,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350 : 27,489 = 27,489 : x
  2. Step 2: Convert to fraction form
    19,350/27,489 = 27,489/x
  3. Step 3: Cross multiply
    19,350x = 27,489 × 27,489
  4. Step 4: Simplify right side
    19,350x = 755,645,121
  5. Step 5: Solve for x
    x = 755,645,121/19,350
  6. Step 6: Final answer
    x = 39,051.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.