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Finding the Third Proportional to 678.94 and 1,384.88

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Solution

The third proportional to 678.94 and 1,384.88 is: 2,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.94 : 1,384.88 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    678.94/1,384.88 = 1,384.88/x
  3. Step 3: Cross multiply
    678.94x = 1,384.88 × 1,384.88
  4. Step 4: Simplify right side
    678.94x = 1,917,878.77
  5. Step 5: Solve for x
    x = 1,917,878.77/678.94
  6. Step 6: Final answer
    x = 2,824.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.