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Finding the Third Proportional to 9,120.75 and 13,746.75

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Solution

The third proportional to 9,120.75 and 13,746.75 is: 20,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.75 : 13,746.75 = 13,746.75 : x
  2. Step 2: Convert to fraction form
    9,120.75/13,746.75 = 13,746.75/x
  3. Step 3: Cross multiply
    9,120.75x = 13,746.75 × 13,746.75
  4. Step 4: Simplify right side
    9,120.75x = 188,973,135.56
  5. Step 5: Solve for x
    x = 188,973,135.56/9,120.75
  6. Step 6: Final answer
    x = 20,719.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.