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Finding the Third Proportional to 19,719 and 27,735

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Solution

The third proportional to 19,719 and 27,735 is: 39,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719 : 27,735 = 27,735 : x
  2. Step 2: Convert to fraction form
    19,719/27,735 = 27,735/x
  3. Step 3: Cross multiply
    19,719x = 27,735 × 27,735
  4. Step 4: Simplify right side
    19,719x = 769,230,225
  5. Step 5: Solve for x
    x = 769,230,225/19,719
  6. Step 6: Final answer
    x = 39,009.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.