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Finding the Third Proportional to 2,138 and 3,587

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Solution

The third proportional to 2,138 and 3,587 is: 6,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138 : 3,587 = 3,587 : x
  2. Step 2: Convert to fraction form
    2,138/3,587 = 3,587/x
  3. Step 3: Cross multiply
    2,138x = 3,587 × 3,587
  4. Step 4: Simplify right side
    2,138x = 12,866,569
  5. Step 5: Solve for x
    x = 12,866,569/2,138
  6. Step 6: Final answer
    x = 6,018.04

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.