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Finding the Third Proportional to 822.02 and 1,918.37

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Solution

The third proportional to 822.02 and 1,918.37 is: 4,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,918.37 = 1,918.37 : x
  2. Step 2: Convert to fraction form
    822.02/1,918.37 = 1,918.37/x
  3. Step 3: Cross multiply
    822.02x = 1,918.37 × 1,918.37
  4. Step 4: Simplify right side
    822.02x = 3,680,147.65
  5. Step 5: Solve for x
    x = 3,680,147.65/822.02
  6. Step 6: Final answer
    x = 4,476.94

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.