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Finding the Third Proportional to 6,889 and 15,521

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Solution

The third proportional to 6,889 and 15,521 is: 34,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889 : 15,521 = 15,521 : x
  2. Step 2: Convert to fraction form
    6,889/15,521 = 15,521/x
  3. Step 3: Cross multiply
    6,889x = 15,521 × 15,521
  4. Step 4: Simplify right side
    6,889x = 240,901,441
  5. Step 5: Solve for x
    x = 240,901,441/6,889
  6. Step 6: Final answer
    x = 34,969

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.