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Finding the Third Proportional to 401.44 and 511.97

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Solution

The third proportional to 401.44 and 511.97 is: 652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.44 : 511.97 = 511.97 : x
  2. Step 2: Convert to fraction form
    401.44/511.97 = 511.97/x
  3. Step 3: Cross multiply
    401.44x = 511.97 × 511.97
  4. Step 4: Simplify right side
    401.44x = 262,112.00
  5. Step 5: Solve for x
    x = 262,112.00/401.44
  6. Step 6: Final answer
    x = 652.93

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.