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Finding the Third Proportional to 6,324.33 and 13,878.84

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Solution

The third proportional to 6,324.33 and 13,878.84 is: 30,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.33 : 13,878.84 = 13,878.84 : x
  2. Step 2: Convert to fraction form
    6,324.33/13,878.84 = 13,878.84/x
  3. Step 3: Cross multiply
    6,324.33x = 13,878.84 × 13,878.84
  4. Step 4: Simplify right side
    6,324.33x = 192,622,303.84
  5. Step 5: Solve for x
    x = 192,622,303.84/6,324.33
  6. Step 6: Final answer
    x = 30,457.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.