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Finding the Third Proportional to 19,143 and 27,135

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Solution

The third proportional to 19,143 and 27,135 is: 38,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143 : 27,135 = 27,135 : x
  2. Step 2: Convert to fraction form
    19,143/27,135 = 27,135/x
  3. Step 3: Cross multiply
    19,143x = 27,135 × 27,135
  4. Step 4: Simplify right side
    19,143x = 736,308,225
  5. Step 5: Solve for x
    x = 736,308,225/19,143
  6. Step 6: Final answer
    x = 38,463.58

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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.