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Finding the Third Proportional to 368.77 and 865.81

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Solution

The third proportional to 368.77 and 865.81 is: 2,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.77 : 865.81 = 865.81 : x
  2. Step 2: Convert to fraction form
    368.77/865.81 = 865.81/x
  3. Step 3: Cross multiply
    368.77x = 865.81 × 865.81
  4. Step 4: Simplify right side
    368.77x = 749,620.08
  5. Step 5: Solve for x
    x = 749,620.08/368.77
  6. Step 6: Final answer
    x = 2,032.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.