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Finding the Third Proportional to 2,142 and 3,131

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Solution

The third proportional to 2,142 and 3,131 is: 4,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 3,131 = 3,131 : x
  2. Step 2: Convert to fraction form
    2,142/3,131 = 3,131/x
  3. Step 3: Cross multiply
    2,142x = 3,131 × 3,131
  4. Step 4: Simplify right side
    2,142x = 9,803,161
  5. Step 5: Solve for x
    x = 9,803,161/2,142
  6. Step 6: Final answer
    x = 4,576.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.