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Finding the Third Proportional to 19,372 and 27,421

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Solution

The third proportional to 19,372 and 27,421 is: 38,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372 : 27,421 = 27,421 : x
  2. Step 2: Convert to fraction form
    19,372/27,421 = 27,421/x
  3. Step 3: Cross multiply
    19,372x = 27,421 × 27,421
  4. Step 4: Simplify right side
    19,372x = 751,911,241
  5. Step 5: Solve for x
    x = 751,911,241/19,372
  6. Step 6: Final answer
    x = 38,814.33

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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.