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Finding the Third Proportional to 6,258.75 and 11,729.25

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Solution

The third proportional to 6,258.75 and 11,729.25 is: 21,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.75 : 11,729.25 = 11,729.25 : x
  2. Step 2: Convert to fraction form
    6,258.75/11,729.25 = 11,729.25/x
  3. Step 3: Cross multiply
    6,258.75x = 11,729.25 × 11,729.25
  4. Step 4: Simplify right side
    6,258.75x = 137,575,305.56
  5. Step 5: Solve for x
    x = 137,575,305.56/6,258.75
  6. Step 6: Final answer
    x = 21,981.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.