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Finding the Third Proportional to 394.09 and 933.28

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Solution

The third proportional to 394.09 and 933.28 is: 2,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.09 : 933.28 = 933.28 : x
  2. Step 2: Convert to fraction form
    394.09/933.28 = 933.28/x
  3. Step 3: Cross multiply
    394.09x = 933.28 × 933.28
  4. Step 4: Simplify right side
    394.09x = 871,013.89
  5. Step 5: Solve for x
    x = 871,013.89/394.09
  6. Step 6: Final answer
    x = 2,210.17

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.