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Finding the Third Proportional to 5,780 and 11,272

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Solution

The third proportional to 5,780 and 11,272 is: 21,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 11,272 = 11,272 : x
  2. Step 2: Convert to fraction form
    5,780/11,272 = 11,272/x
  3. Step 3: Cross multiply
    5,780x = 11,272 × 11,272
  4. Step 4: Simplify right side
    5,780x = 127,057,984
  5. Step 5: Solve for x
    x = 127,057,984/5,780
  6. Step 6: Final answer
    x = 21,982.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.