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Finding the Third Proportional to 697.36 and 1,121.77

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Solution

The third proportional to 697.36 and 1,121.77 is: 1,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.36 : 1,121.77 = 1,121.77 : x
  2. Step 2: Convert to fraction form
    697.36/1,121.77 = 1,121.77/x
  3. Step 3: Cross multiply
    697.36x = 1,121.77 × 1,121.77
  4. Step 4: Simplify right side
    697.36x = 1,258,358.12
  5. Step 5: Solve for x
    x = 1,258,358.12/697.36
  6. Step 6: Final answer
    x = 1,804.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.