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Finding the Third Proportional to 386.58 and 840.23

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Solution

The third proportional to 386.58 and 840.23 is: 1,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.58 : 840.23 = 840.23 : x
  2. Step 2: Convert to fraction form
    386.58/840.23 = 840.23/x
  3. Step 3: Cross multiply
    386.58x = 840.23 × 840.23
  4. Step 4: Simplify right side
    386.58x = 705,993.80
  5. Step 5: Solve for x
    x = 705,993.80/386.58
  6. Step 6: Final answer
    x = 1,826.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.