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Finding the Third Proportional to 3,650 and 5,476

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Solution

The third proportional to 3,650 and 5,476 is: 8,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650 : 5,476 = 5,476 : x
  2. Step 2: Convert to fraction form
    3,650/5,476 = 5,476/x
  3. Step 3: Cross multiply
    3,650x = 5,476 × 5,476
  4. Step 4: Simplify right side
    3,650x = 29,986,576
  5. Step 5: Solve for x
    x = 29,986,576/3,650
  6. Step 6: Final answer
    x = 8,215.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.