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Finding the Third Proportional to 19,724 and 27,740

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Solution

The third proportional to 19,724 and 27,740 is: 39,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724 : 27,740 = 27,740 : x
  2. Step 2: Convert to fraction form
    19,724/27,740 = 27,740/x
  3. Step 3: Cross multiply
    19,724x = 27,740 × 27,740
  4. Step 4: Simplify right side
    19,724x = 769,507,600
  5. Step 5: Solve for x
    x = 769,507,600/19,724
  6. Step 6: Final answer
    x = 39,013.77

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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.