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Finding the Third Proportional to 19,740 and 27,288

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Solution

The third proportional to 19,740 and 27,288 is: 37,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740 : 27,288 = 27,288 : x
  2. Step 2: Convert to fraction form
    19,740/27,288 = 27,288/x
  3. Step 3: Cross multiply
    19,740x = 27,288 × 27,288
  4. Step 4: Simplify right side
    19,740x = 744,634,944
  5. Step 5: Solve for x
    x = 744,634,944/19,740
  6. Step 6: Final answer
    x = 37,722.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.