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Finding the Third Proportional to 384.01 and 579.34

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Solution

The third proportional to 384.01 and 579.34 is: 874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.01 : 579.34 = 579.34 : x
  2. Step 2: Convert to fraction form
    384.01/579.34 = 579.34/x
  3. Step 3: Cross multiply
    384.01x = 579.34 × 579.34
  4. Step 4: Simplify right side
    384.01x = 335,634.65
  5. Step 5: Solve for x
    x = 335,634.65/384.01
  6. Step 6: Final answer
    x = 874.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.