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Finding the Third Proportional to 21,491 and 33,209

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Solution

The third proportional to 21,491 and 33,209 is: 51,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491 : 33,209 = 33,209 : x
  2. Step 2: Convert to fraction form
    21,491/33,209 = 33,209/x
  3. Step 3: Cross multiply
    21,491x = 33,209 × 33,209
  4. Step 4: Simplify right side
    21,491x = 1,102,837,681
  5. Step 5: Solve for x
    x = 1,102,837,681/21,491
  6. Step 6: Final answer
    x = 51,316.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.