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Finding the Third Proportional to 15,551 and 33,557

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Solution

The third proportional to 15,551 and 33,557 is: 72,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,551 : 33,557 = 33,557 : x
  2. Step 2: Convert to fraction form
    15,551/33,557 = 33,557/x
  3. Step 3: Cross multiply
    15,551x = 33,557 × 33,557
  4. Step 4: Simplify right side
    15,551x = 1,126,072,249
  5. Step 5: Solve for x
    x = 1,126,072,249/15,551
  6. Step 6: Final answer
    x = 72,411.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.