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Finding the Third Proportional to 678.38 and 1,245.94

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Solution

The third proportional to 678.38 and 1,245.94 is: 2,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 1,245.94 = 1,245.94 : x
  2. Step 2: Convert to fraction form
    678.38/1,245.94 = 1,245.94/x
  3. Step 3: Cross multiply
    678.38x = 1,245.94 × 1,245.94
  4. Step 4: Simplify right side
    678.38x = 1,552,360.25
  5. Step 5: Solve for x
    x = 1,552,360.25/678.38
  6. Step 6: Final answer
    x = 2,288.35

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.