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Finding the Third Proportional to 19,838 and 27,015

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Solution

The third proportional to 19,838 and 27,015 is: 36,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 27,015 = 27,015 : x
  2. Step 2: Convert to fraction form
    19,838/27,015 = 27,015/x
  3. Step 3: Cross multiply
    19,838x = 27,015 × 27,015
  4. Step 4: Simplify right side
    19,838x = 729,810,225
  5. Step 5: Solve for x
    x = 729,810,225/19,838
  6. Step 6: Final answer
    x = 36,788.50

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1.5x scale

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.