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Finding the Third Proportional to 313.42 and 678.10

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Solution

The third proportional to 313.42 and 678.10 is: 1,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 678.10 = 678.10 : x
  2. Step 2: Convert to fraction form
    313.42/678.10 = 678.10/x
  3. Step 3: Cross multiply
    313.42x = 678.10 × 678.10
  4. Step 4: Simplify right side
    313.42x = 459,817.09
  5. Step 5: Solve for x
    x = 459,817.09/313.42
  6. Step 6: Final answer
    x = 1,467.09

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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.