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Finding the Third Proportional to 19,664 and 27,390

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Solution

The third proportional to 19,664 and 27,390 is: 38,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664 : 27,390 = 27,390 : x
  2. Step 2: Convert to fraction form
    19,664/27,390 = 27,390/x
  3. Step 3: Cross multiply
    19,664x = 27,390 × 27,390
  4. Step 4: Simplify right side
    19,664x = 750,212,100
  5. Step 5: Solve for x
    x = 750,212,100/19,664
  6. Step 6: Final answer
    x = 38,151.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.