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Finding the Third Proportional to 1,931.81 and 4,163.44

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Solution

The third proportional to 1,931.81 and 4,163.44 is: 8,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.81 : 4,163.44 = 4,163.44 : x
  2. Step 2: Convert to fraction form
    1,931.81/4,163.44 = 4,163.44/x
  3. Step 3: Cross multiply
    1,931.81x = 4,163.44 × 4,163.44
  4. Step 4: Simplify right side
    1,931.81x = 17,334,211.82
  5. Step 5: Solve for x
    x = 17,334,211.82/1,931.81
  6. Step 6: Final answer
    x = 8,973.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.