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Finding the Third Proportional to 1,958.77 and 4,190.70

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Solution

The third proportional to 1,958.77 and 4,190.70 is: 8,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.77 : 4,190.70 = 4,190.70 : x
  2. Step 2: Convert to fraction form
    1,958.77/4,190.70 = 4,190.70/x
  3. Step 3: Cross multiply
    1,958.77x = 4,190.70 × 4,190.70
  4. Step 4: Simplify right side
    1,958.77x = 17,561,927.20
  5. Step 5: Solve for x
    x = 17,561,927.20/1,958.77
  6. Step 6: Final answer
    x = 8,965.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.