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Finding the Third Proportional to 8,629.03 and 13,258.69

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Solution

The third proportional to 8,629.03 and 13,258.69 is: 20,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.03 : 13,258.69 = 13,258.69 : x
  2. Step 2: Convert to fraction form
    8,629.03/13,258.69 = 13,258.69/x
  3. Step 3: Cross multiply
    8,629.03x = 13,258.69 × 13,258.69
  4. Step 4: Simplify right side
    8,629.03x = 175,792,794.22
  5. Step 5: Solve for x
    x = 175,792,794.22/8,629.03
  6. Step 6: Final answer
    x = 20,372.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.