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Finding the Third Proportional to 369.47 and 855.19

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Solution

The third proportional to 369.47 and 855.19 is: 1,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.47 : 855.19 = 855.19 : x
  2. Step 2: Convert to fraction form
    369.47/855.19 = 855.19/x
  3. Step 3: Cross multiply
    369.47x = 855.19 × 855.19
  4. Step 4: Simplify right side
    369.47x = 731,345.66
  5. Step 5: Solve for x
    x = 731,345.66/369.47
  6. Step 6: Final answer
    x = 1,979.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.