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Finding the Third Proportional to 3,119.63 and 4,852.69

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Solution

The third proportional to 3,119.63 and 4,852.69 is: 7,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.63 : 4,852.69 = 4,852.69 : x
  2. Step 2: Convert to fraction form
    3,119.63/4,852.69 = 4,852.69/x
  3. Step 3: Cross multiply
    3,119.63x = 4,852.69 × 4,852.69
  4. Step 4: Simplify right side
    3,119.63x = 23,548,575.97
  5. Step 5: Solve for x
    x = 23,548,575.97/3,119.63
  6. Step 6: Final answer
    x = 7,548.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.