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Finding the Third Proportional to 3,918.38 and 8,303.77

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Solution

The third proportional to 3,918.38 and 8,303.77 is: 17,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.38 : 8,303.77 = 8,303.77 : x
  2. Step 2: Convert to fraction form
    3,918.38/8,303.77 = 8,303.77/x
  3. Step 3: Cross multiply
    3,918.38x = 8,303.77 × 8,303.77
  4. Step 4: Simplify right side
    3,918.38x = 68,952,523.55
  5. Step 5: Solve for x
    x = 68,952,523.55/3,918.38
  6. Step 6: Final answer
    x = 17,597.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.