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Finding the Third Proportional to 384.94 and 579.47

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Solution

The third proportional to 384.94 and 579.47 is: 872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.94 : 579.47 = 579.47 : x
  2. Step 2: Convert to fraction form
    384.94/579.47 = 579.47/x
  3. Step 3: Cross multiply
    384.94x = 579.47 × 579.47
  4. Step 4: Simplify right side
    384.94x = 335,784.03
  5. Step 5: Solve for x
    x = 335,784.03/384.94
  6. Step 6: Final answer
    x = 872.31

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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.