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Finding the Third Proportional to 368.30 and 585.35

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Solution

The third proportional to 368.30 and 585.35 is: 930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.30 : 585.35 = 585.35 : x
  2. Step 2: Convert to fraction form
    368.30/585.35 = 585.35/x
  3. Step 3: Cross multiply
    368.30x = 585.35 × 585.35
  4. Step 4: Simplify right side
    368.30x = 342,636.45
  5. Step 5: Solve for x
    x = 342,636.45/368.30
  6. Step 6: Final answer
    x = 930.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.