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Finding the Third Proportional to 918.36 and 1,379.57

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Solution

The third proportional to 918.36 and 1,379.57 is: 2,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.36 : 1,379.57 = 1,379.57 : x
  2. Step 2: Convert to fraction form
    918.36/1,379.57 = 1,379.57/x
  3. Step 3: Cross multiply
    918.36x = 1,379.57 × 1,379.57
  4. Step 4: Simplify right side
    918.36x = 1,903,209.20
  5. Step 5: Solve for x
    x = 1,903,209.20/918.36
  6. Step 6: Final answer
    x = 2,072.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.