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Finding the Third Proportional to 2,020.36 and 3,120.40

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Solution

The third proportional to 2,020.36 and 3,120.40 is: 4,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.36 : 3,120.40 = 3,120.40 : x
  2. Step 2: Convert to fraction form
    2,020.36/3,120.40 = 3,120.40/x
  3. Step 3: Cross multiply
    2,020.36x = 3,120.40 × 3,120.40
  4. Step 4: Simplify right side
    2,020.36x = 9,736,886.41
  5. Step 5: Solve for x
    x = 9,736,886.41/2,020.36
  6. Step 6: Final answer
    x = 4,819.38

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1.5x scale

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.