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Finding the Third Proportional to 298.45 and 657.65

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Solution

The third proportional to 298.45 and 657.65 is: 1,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.45 : 657.65 = 657.65 : x
  2. Step 2: Convert to fraction form
    298.45/657.65 = 657.65/x
  3. Step 3: Cross multiply
    298.45x = 657.65 × 657.65
  4. Step 4: Simplify right side
    298.45x = 432,504.04
  5. Step 5: Solve for x
    x = 432,504.04/298.45
  6. Step 6: Final answer
    x = 1,449.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.