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Finding the Third Proportional to 935.93 and 1,968.36

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Solution

The third proportional to 935.93 and 1,968.36 is: 4,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.93 : 1,968.36 = 1,968.36 : x
  2. Step 2: Convert to fraction form
    935.93/1,968.36 = 1,968.36/x
  3. Step 3: Cross multiply
    935.93x = 1,968.36 × 1,968.36
  4. Step 4: Simplify right side
    935.93x = 3,874,454.01
  5. Step 5: Solve for x
    x = 3,874,454.01/935.93
  6. Step 6: Final answer
    x = 4,139.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.