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Finding the Third Proportional to 697.99 and 985.82

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Solution

The third proportional to 697.99 and 985.82 is: 1,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.99 : 985.82 = 985.82 : x
  2. Step 2: Convert to fraction form
    697.99/985.82 = 985.82/x
  3. Step 3: Cross multiply
    697.99x = 985.82 × 985.82
  4. Step 4: Simplify right side
    697.99x = 971,833.99
  5. Step 5: Solve for x
    x = 971,833.99/697.99
  6. Step 6: Final answer
    x = 1,392.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.