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Finding the Third Proportional to 580.38 and 1,200.94

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Solution

The third proportional to 580.38 and 1,200.94 is: 2,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.38 : 1,200.94 = 1,200.94 : x
  2. Step 2: Convert to fraction form
    580.38/1,200.94 = 1,200.94/x
  3. Step 3: Cross multiply
    580.38x = 1,200.94 × 1,200.94
  4. Step 4: Simplify right side
    580.38x = 1,442,250.88
  5. Step 5: Solve for x
    x = 1,442,250.88/580.38
  6. Step 6: Final answer
    x = 2,485.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.