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Finding the Third Proportional to 1,978.17 and 4,286.67

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Solution

The third proportional to 1,978.17 and 4,286.67 is: 9,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.17 : 4,286.67 = 4,286.67 : x
  2. Step 2: Convert to fraction form
    1,978.17/4,286.67 = 4,286.67/x
  3. Step 3: Cross multiply
    1,978.17x = 4,286.67 × 4,286.67
  4. Step 4: Simplify right side
    1,978.17x = 18,375,555.76
  5. Step 5: Solve for x
    x = 18,375,555.76/1,978.17
  6. Step 6: Final answer
    x = 9,289.16

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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.