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Finding the Third Proportional to 3,345.50 and 5,107.75

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Solution

The third proportional to 3,345.50 and 5,107.75 is: 7,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.50 : 5,107.75 = 5,107.75 : x
  2. Step 2: Convert to fraction form
    3,345.50/5,107.75 = 5,107.75/x
  3. Step 3: Cross multiply
    3,345.50x = 5,107.75 × 5,107.75
  4. Step 4: Simplify right side
    3,345.50x = 26,089,110.06
  5. Step 5: Solve for x
    x = 26,089,110.06/3,345.50
  6. Step 6: Final answer
    x = 7,798.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.