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Finding the Third Proportional to 421.78 and 985.03

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Solution

The third proportional to 421.78 and 985.03 is: 2,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 985.03 = 985.03 : x
  2. Step 2: Convert to fraction form
    421.78/985.03 = 985.03/x
  3. Step 3: Cross multiply
    421.78x = 985.03 × 985.03
  4. Step 4: Simplify right side
    421.78x = 970,286.56
  5. Step 5: Solve for x
    x = 970,286.56/421.78
  6. Step 6: Final answer
    x = 2,300.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.