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Finding the Third Proportional to 2,908.13 and 4,239.56

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Solution

The third proportional to 2,908.13 and 4,239.56 is: 6,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.13 : 4,239.56 = 4,239.56 : x
  2. Step 2: Convert to fraction form
    2,908.13/4,239.56 = 4,239.56/x
  3. Step 3: Cross multiply
    2,908.13x = 4,239.56 × 4,239.56
  4. Step 4: Simplify right side
    2,908.13x = 17,973,890.19
  5. Step 5: Solve for x
    x = 17,973,890.19/2,908.13
  6. Step 6: Final answer
    x = 6,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.