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Finding the Third Proportional to 289,228 and 297,976

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Solution

The third proportional to 289,228 and 297,976 is: 306,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,228 : 297,976 = 297,976 : x
  2. Step 2: Convert to fraction form
    289,228/297,976 = 297,976/x
  3. Step 3: Cross multiply
    289,228x = 297,976 × 297,976
  4. Step 4: Simplify right side
    289,228x = 88,789,696,576
  5. Step 5: Solve for x
    x = 88,789,696,576/289,228
  6. Step 6: Final answer
    x = 306,988.59

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.