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Finding the Third Proportional to 5,622.19 and 8,744.06

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Solution

The third proportional to 5,622.19 and 8,744.06 is: 13,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.19 : 8,744.06 = 8,744.06 : x
  2. Step 2: Convert to fraction form
    5,622.19/8,744.06 = 8,744.06/x
  3. Step 3: Cross multiply
    5,622.19x = 8,744.06 × 8,744.06
  4. Step 4: Simplify right side
    5,622.19x = 76,458,629.00
  5. Step 5: Solve for x
    x = 76,458,629.00/5,622.19
  6. Step 6: Final answer
    x = 13,599.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.