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Finding the Third Proportional to 2,987.44 and 4,178.44

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Solution

The third proportional to 2,987.44 and 4,178.44 is: 5,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.44 : 4,178.44 = 4,178.44 : x
  2. Step 2: Convert to fraction form
    2,987.44/4,178.44 = 4,178.44/x
  3. Step 3: Cross multiply
    2,987.44x = 4,178.44 × 4,178.44
  4. Step 4: Simplify right side
    2,987.44x = 17,459,339.94
  5. Step 5: Solve for x
    x = 17,459,339.94/2,987.44
  6. Step 6: Final answer
    x = 5,844.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.