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Finding the Third Proportional to 298.08 and 645.78

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Solution

The third proportional to 298.08 and 645.78 is: 1,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.08 : 645.78 = 645.78 : x
  2. Step 2: Convert to fraction form
    298.08/645.78 = 645.78/x
  3. Step 3: Cross multiply
    298.08x = 645.78 × 645.78
  4. Step 4: Simplify right side
    298.08x = 417,033.42
  5. Step 5: Solve for x
    x = 417,033.42/298.08
  6. Step 6: Final answer
    x = 1,399.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.