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Finding the Third Proportional to 1,986 and 5,385

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Solution

The third proportional to 1,986 and 5,385 is: 14,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986 : 5,385 = 5,385 : x
  2. Step 2: Convert to fraction form
    1,986/5,385 = 5,385/x
  3. Step 3: Cross multiply
    1,986x = 5,385 × 5,385
  4. Step 4: Simplify right side
    1,986x = 28,998,225
  5. Step 5: Solve for x
    x = 28,998,225/1,986
  6. Step 6: Final answer
    x = 14,601.32

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.