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Finding the Third Proportional to 15,284 and 21,805

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Solution

The third proportional to 15,284 and 21,805 is: 31,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284 : 21,805 = 21,805 : x
  2. Step 2: Convert to fraction form
    15,284/21,805 = 21,805/x
  3. Step 3: Cross multiply
    15,284x = 21,805 × 21,805
  4. Step 4: Simplify right side
    15,284x = 475,458,025
  5. Step 5: Solve for x
    x = 475,458,025/15,284
  6. Step 6: Final answer
    x = 31,108.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.