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Finding the Third Proportional to 392.44 and 572.81

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Solution

The third proportional to 392.44 and 572.81 is: 836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.44 : 572.81 = 572.81 : x
  2. Step 2: Convert to fraction form
    392.44/572.81 = 572.81/x
  3. Step 3: Cross multiply
    392.44x = 572.81 × 572.81
  4. Step 4: Simplify right side
    392.44x = 328,114.16
  5. Step 5: Solve for x
    x = 328,114.16/392.44
  6. Step 6: Final answer
    x = 836.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.