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Finding the Third Proportional to 21,559 and 33,459

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Solution

The third proportional to 21,559 and 33,459 is: 51,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,559 : 33,459 = 33,459 : x
  2. Step 2: Convert to fraction form
    21,559/33,459 = 33,459/x
  3. Step 3: Cross multiply
    21,559x = 33,459 × 33,459
  4. Step 4: Simplify right side
    21,559x = 1,119,504,681
  5. Step 5: Solve for x
    x = 1,119,504,681/21,559
  6. Step 6: Final answer
    x = 51,927.49

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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.