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Finding the Third Proportional to 7,591 and 15,491

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Solution

The third proportional to 7,591 and 15,491 is: 31,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591 : 15,491 = 15,491 : x
  2. Step 2: Convert to fraction form
    7,591/15,491 = 15,491/x
  3. Step 3: Cross multiply
    7,591x = 15,491 × 15,491
  4. Step 4: Simplify right side
    7,591x = 239,971,081
  5. Step 5: Solve for x
    x = 239,971,081/7,591
  6. Step 6: Final answer
    x = 31,612.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.