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Finding the Third Proportional to 388.41 and 839.81

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Solution

The third proportional to 388.41 and 839.81 is: 1,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.41 : 839.81 = 839.81 : x
  2. Step 2: Convert to fraction form
    388.41/839.81 = 839.81/x
  3. Step 3: Cross multiply
    388.41x = 839.81 × 839.81
  4. Step 4: Simplify right side
    388.41x = 705,285.04
  5. Step 5: Solve for x
    x = 705,285.04/388.41
  6. Step 6: Final answer
    x = 1,815.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.