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Finding the Third Proportional to 399.94 and 572.06

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Solution

The third proportional to 399.94 and 572.06 is: 818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 572.06 = 572.06 : x
  2. Step 2: Convert to fraction form
    399.94/572.06 = 572.06/x
  3. Step 3: Cross multiply
    399.94x = 572.06 × 572.06
  4. Step 4: Simplify right side
    399.94x = 327,255.50
  5. Step 5: Solve for x
    x = 327,255.50/399.94
  6. Step 6: Final answer
    x = 818.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.