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Finding the Third Proportional to 580.36 and 665.30

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Solution

The third proportional to 580.36 and 665.30 is: 762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.36 : 665.30 = 665.30 : x
  2. Step 2: Convert to fraction form
    580.36/665.30 = 665.30/x
  3. Step 3: Cross multiply
    580.36x = 665.30 × 665.30
  4. Step 4: Simplify right side
    580.36x = 442,619.93
  5. Step 5: Solve for x
    x = 442,619.93/580.36
  6. Step 6: Final answer
    x = 762.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.