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Finding the Third Proportional to 21,813 and 26,619

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Solution

The third proportional to 21,813 and 26,619 is: 32,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813 : 26,619 = 26,619 : x
  2. Step 2: Convert to fraction form
    21,813/26,619 = 26,619/x
  3. Step 3: Cross multiply
    21,813x = 26,619 × 26,619
  4. Step 4: Simplify right side
    21,813x = 708,571,161
  5. Step 5: Solve for x
    x = 708,571,161/21,813
  6. Step 6: Final answer
    x = 32,483.89

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.