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Finding the Third Proportional to 19,470 and 27,743

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Solution

The third proportional to 19,470 and 27,743 is: 39,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 27,743 = 27,743 : x
  2. Step 2: Convert to fraction form
    19,470/27,743 = 27,743/x
  3. Step 3: Cross multiply
    19,470x = 27,743 × 27,743
  4. Step 4: Simplify right side
    19,470x = 769,674,049
  5. Step 5: Solve for x
    x = 769,674,049/19,470
  6. Step 6: Final answer
    x = 39,531.28

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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.