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Finding the Third Proportional to 4,187 and 9,102.25

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Solution

The third proportional to 4,187 and 9,102.25 is: 19,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187 : 9,102.25 = 9,102.25 : x
  2. Step 2: Convert to fraction form
    4,187/9,102.25 = 9,102.25/x
  3. Step 3: Cross multiply
    4,187x = 9,102.25 × 9,102.25
  4. Step 4: Simplify right side
    4,187x = 82,850,955.06
  5. Step 5: Solve for x
    x = 82,850,955.06/4,187
  6. Step 6: Final answer
    x = 19,787.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.