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Finding the Third Proportional to 428.75 and 942.25

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Solution

The third proportional to 428.75 and 942.25 is: 2,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.75 : 942.25 = 942.25 : x
  2. Step 2: Convert to fraction form
    428.75/942.25 = 942.25/x
  3. Step 3: Cross multiply
    428.75x = 942.25 × 942.25
  4. Step 4: Simplify right side
    428.75x = 887,835.06
  5. Step 5: Solve for x
    x = 887,835.06/428.75
  6. Step 6: Final answer
    x = 2,070.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.