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Finding the Third Proportional to 298.05 and 638.35

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Solution

The third proportional to 298.05 and 638.35 is: 1,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 638.35 = 638.35 : x
  2. Step 2: Convert to fraction form
    298.05/638.35 = 638.35/x
  3. Step 3: Cross multiply
    298.05x = 638.35 × 638.35
  4. Step 4: Simplify right side
    298.05x = 407,490.22
  5. Step 5: Solve for x
    x = 407,490.22/298.05
  6. Step 6: Final answer
    x = 1,367.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.