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Finding the Third Proportional to 298.69 and 684.70

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Solution

The third proportional to 298.69 and 684.70 is: 1,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 684.70 = 684.70 : x
  2. Step 2: Convert to fraction form
    298.69/684.70 = 684.70/x
  3. Step 3: Cross multiply
    298.69x = 684.70 × 684.70
  4. Step 4: Simplify right side
    298.69x = 468,818.37
  5. Step 5: Solve for x
    x = 468,818.37/298.69
  6. Step 6: Final answer
    x = 1,569.59

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.