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Finding the Third Proportional to 711.75 and 994.88

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Solution

The third proportional to 711.75 and 994.88 is: 1,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.75 : 994.88 = 994.88 : x
  2. Step 2: Convert to fraction form
    711.75/994.88 = 994.88/x
  3. Step 3: Cross multiply
    711.75x = 994.88 × 994.88
  4. Step 4: Simplify right side
    711.75x = 989,776.27
  5. Step 5: Solve for x
    x = 989,776.27/711.75
  6. Step 6: Final answer
    x = 1,390.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.