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Finding the Third Proportional to 298.65 and 601.57

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Solution

The third proportional to 298.65 and 601.57 is: 1,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 601.57 = 601.57 : x
  2. Step 2: Convert to fraction form
    298.65/601.57 = 601.57/x
  3. Step 3: Cross multiply
    298.65x = 601.57 × 601.57
  4. Step 4: Simplify right side
    298.65x = 361,883.32
  5. Step 5: Solve for x
    x = 361,883.32/298.65
  6. Step 6: Final answer
    x = 1,211.74

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.