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Finding the Third Proportional to 428.96 and 939.99

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Solution

The third proportional to 428.96 and 939.99 is: 2,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 939.99 = 939.99 : x
  2. Step 2: Convert to fraction form
    428.96/939.99 = 939.99/x
  3. Step 3: Cross multiply
    428.96x = 939.99 × 939.99
  4. Step 4: Simplify right side
    428.96x = 883,587.84
  5. Step 5: Solve for x
    x = 883,587.84/428.96
  6. Step 6: Final answer
    x = 2,059.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.