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Finding the Third Proportional to 421.03 and 918.56

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Solution

The third proportional to 421.03 and 918.56 is: 2,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.03 : 918.56 = 918.56 : x
  2. Step 2: Convert to fraction form
    421.03/918.56 = 918.56/x
  3. Step 3: Cross multiply
    421.03x = 918.56 × 918.56
  4. Step 4: Simplify right side
    421.03x = 843,757.07
  5. Step 5: Solve for x
    x = 843,757.07/421.03
  6. Step 6: Final answer
    x = 2,004.02

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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.