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Finding the Third Proportional to 2,290.15 and 4,289.84

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Solution

The third proportional to 2,290.15 and 4,289.84 is: 8,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.15 : 4,289.84 = 4,289.84 : x
  2. Step 2: Convert to fraction form
    2,290.15/4,289.84 = 4,289.84/x
  3. Step 3: Cross multiply
    2,290.15x = 4,289.84 × 4,289.84
  4. Step 4: Simplify right side
    2,290.15x = 18,402,692.37
  5. Step 5: Solve for x
    x = 18,402,692.37/2,290.15
  6. Step 6: Final answer
    x = 8,035.59

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.