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Finding the Third Proportional to 428 and 1,151

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Solution

The third proportional to 428 and 1,151 is: 3,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 1,151 = 1,151 : x
  2. Step 2: Convert to fraction form
    428/1,151 = 1,151/x
  3. Step 3: Cross multiply
    428x = 1,151 × 1,151
  4. Step 4: Simplify right side
    428x = 1,324,801
  5. Step 5: Solve for x
    x = 1,324,801/428
  6. Step 6: Final answer
    x = 3,095.33

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.