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Finding the Third Proportional to 5,178 and 8,203

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Solution

The third proportional to 5,178 and 8,203 is: 12,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 8,203 = 8,203 : x
  2. Step 2: Convert to fraction form
    5,178/8,203 = 8,203/x
  3. Step 3: Cross multiply
    5,178x = 8,203 × 8,203
  4. Step 4: Simplify right side
    5,178x = 67,289,209
  5. Step 5: Solve for x
    x = 67,289,209/5,178
  6. Step 6: Final answer
    x = 12,995.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.