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Finding the Third Proportional to 699.38 and 940.88

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Solution

The third proportional to 699.38 and 940.88 is: 1,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 940.88 = 940.88 : x
  2. Step 2: Convert to fraction form
    699.38/940.88 = 940.88/x
  3. Step 3: Cross multiply
    699.38x = 940.88 × 940.88
  4. Step 4: Simplify right side
    699.38x = 885,245.77
  5. Step 5: Solve for x
    x = 885,245.77/699.38
  6. Step 6: Final answer
    x = 1,265.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.