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Finding the Third Proportional to 426.46 and 678.16

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Solution

The third proportional to 426.46 and 678.16 is: 1,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.46 : 678.16 = 678.16 : x
  2. Step 2: Convert to fraction form
    426.46/678.16 = 678.16/x
  3. Step 3: Cross multiply
    426.46x = 678.16 × 678.16
  4. Step 4: Simplify right side
    426.46x = 459,906.50
  5. Step 5: Solve for x
    x = 459,906.50/426.46
  6. Step 6: Final answer
    x = 1,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.