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Finding the Third Proportional to 3,119.63 and 4,209.19

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Solution

The third proportional to 3,119.63 and 4,209.19 is: 5,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.63 : 4,209.19 = 4,209.19 : x
  2. Step 2: Convert to fraction form
    3,119.63/4,209.19 = 4,209.19/x
  3. Step 3: Cross multiply
    3,119.63x = 4,209.19 × 4,209.19
  4. Step 4: Simplify right side
    3,119.63x = 17,717,259.41
  5. Step 5: Solve for x
    x = 17,717,259.41/3,119.63
  6. Step 6: Final answer
    x = 5,679.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.