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Finding the Third Proportional to 386.44 and 841.22

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Solution

The third proportional to 386.44 and 841.22 is: 1,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 841.22 = 841.22 : x
  2. Step 2: Convert to fraction form
    386.44/841.22 = 841.22/x
  3. Step 3: Cross multiply
    386.44x = 841.22 × 841.22
  4. Step 4: Simplify right side
    386.44x = 707,648.99
  5. Step 5: Solve for x
    x = 707,648.99/386.44
  6. Step 6: Final answer
    x = 1,831.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.