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Finding the Third Proportional to 15,583 and 21,866

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Solution

The third proportional to 15,583 and 21,866 is: 30,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583 : 21,866 = 21,866 : x
  2. Step 2: Convert to fraction form
    15,583/21,866 = 21,866/x
  3. Step 3: Cross multiply
    15,583x = 21,866 × 21,866
  4. Step 4: Simplify right side
    15,583x = 478,121,956
  5. Step 5: Solve for x
    x = 478,121,956/15,583
  6. Step 6: Final answer
    x = 30,682.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.