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Finding the Third Proportional to 262,917 and 288,081

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Solution

The third proportional to 262,917 and 288,081 is: 315,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,917 : 288,081 = 288,081 : x
  2. Step 2: Convert to fraction form
    262,917/288,081 = 288,081/x
  3. Step 3: Cross multiply
    262,917x = 288,081 × 288,081
  4. Step 4: Simplify right side
    262,917x = 82,990,662,561
  5. Step 5: Solve for x
    x = 82,990,662,561/262,917
  6. Step 6: Final answer
    x = 315,653.47

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.