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Finding the Third Proportional to 3,191.91 and 4,855.36

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Solution

The third proportional to 3,191.91 and 4,855.36 is: 7,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.91 : 4,855.36 = 4,855.36 : x
  2. Step 2: Convert to fraction form
    3,191.91/4,855.36 = 4,855.36/x
  3. Step 3: Cross multiply
    3,191.91x = 4,855.36 × 4,855.36
  4. Step 4: Simplify right side
    3,191.91x = 23,574,514.66
  5. Step 5: Solve for x
    x = 23,574,514.66/3,191.91
  6. Step 6: Final answer
    x = 7,385.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.