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Finding the Third Proportional to 4,640 and 8,224

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Solution

The third proportional to 4,640 and 8,224 is: 14,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640 : 8,224 = 8,224 : x
  2. Step 2: Convert to fraction form
    4,640/8,224 = 8,224/x
  3. Step 3: Cross multiply
    4,640x = 8,224 × 8,224
  4. Step 4: Simplify right side
    4,640x = 67,634,176
  5. Step 5: Solve for x
    x = 67,634,176/4,640
  6. Step 6: Final answer
    x = 14,576.33

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.