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Finding the Third Proportional to 2,173 and 4,235

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Solution

The third proportional to 2,173 and 4,235 is: 8,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173 : 4,235 = 4,235 : x
  2. Step 2: Convert to fraction form
    2,173/4,235 = 4,235/x
  3. Step 3: Cross multiply
    2,173x = 4,235 × 4,235
  4. Step 4: Simplify right side
    2,173x = 17,935,225
  5. Step 5: Solve for x
    x = 17,935,225/2,173
  6. Step 6: Final answer
    x = 8,253.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.