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Finding the Third Proportional to 1,986.40 and 4,114.55

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Solution

The third proportional to 1,986.40 and 4,114.55 is: 8,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.40 : 4,114.55 = 4,114.55 : x
  2. Step 2: Convert to fraction form
    1,986.40/4,114.55 = 4,114.55/x
  3. Step 3: Cross multiply
    1,986.40x = 4,114.55 × 4,114.55
  4. Step 4: Simplify right side
    1,986.40x = 16,929,495.99
  5. Step 5: Solve for x
    x = 16,929,495.99/1,986.40
  6. Step 6: Final answer
    x = 8,522.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.