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Finding the Third Proportional to 389.18 and 822.02

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Solution

The third proportional to 389.18 and 822.02 is: 1,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.18 : 822.02 = 822.02 : x
  2. Step 2: Convert to fraction form
    389.18/822.02 = 822.02/x
  3. Step 3: Cross multiply
    389.18x = 822.02 × 822.02
  4. Step 4: Simplify right side
    389.18x = 675,722.53
  5. Step 5: Solve for x
    x = 675,722.53/389.18
  6. Step 6: Final answer
    x = 1,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.