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Finding the Third Proportional to 25,780 and 27,724

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Solution

The third proportional to 25,780 and 27,724 is: 29,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780 : 27,724 = 27,724 : x
  2. Step 2: Convert to fraction form
    25,780/27,724 = 27,724/x
  3. Step 3: Cross multiply
    25,780x = 27,724 × 27,724
  4. Step 4: Simplify right side
    25,780x = 768,620,176
  5. Step 5: Solve for x
    x = 768,620,176/25,780
  6. Step 6: Final answer
    x = 29,814.59

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.