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Finding the Third Proportional to 3,854.04 and 8,254.83

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Solution

The third proportional to 3,854.04 and 8,254.83 is: 17,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.04 : 8,254.83 = 8,254.83 : x
  2. Step 2: Convert to fraction form
    3,854.04/8,254.83 = 8,254.83/x
  3. Step 3: Cross multiply
    3,854.04x = 8,254.83 × 8,254.83
  4. Step 4: Simplify right side
    3,854.04x = 68,142,187.37
  5. Step 5: Solve for x
    x = 68,142,187.37/3,854.04
  6. Step 6: Final answer
    x = 17,680.72

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