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Finding the Third Proportional to 425.91 and 942.84

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Solution

The third proportional to 425.91 and 942.84 is: 2,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.91 : 942.84 = 942.84 : x
  2. Step 2: Convert to fraction form
    425.91/942.84 = 942.84/x
  3. Step 3: Cross multiply
    425.91x = 942.84 × 942.84
  4. Step 4: Simplify right side
    425.91x = 888,954.34
  5. Step 5: Solve for x
    x = 888,954.34/425.91
  6. Step 6: Final answer
    x = 2,087.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.