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Finding the Third Proportional to 421.94 and 906.88

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Solution

The third proportional to 421.94 and 906.88 is: 1,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 906.88 = 906.88 : x
  2. Step 2: Convert to fraction form
    421.94/906.88 = 906.88/x
  3. Step 3: Cross multiply
    421.94x = 906.88 × 906.88
  4. Step 4: Simplify right side
    421.94x = 822,422.27
  5. Step 5: Solve for x
    x = 822,422.27/421.94
  6. Step 6: Final answer
    x = 1,949.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.