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Finding the Third Proportional to 125.85 and 275.67

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Solution

The third proportional to 125.85 and 275.67 is: 603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.85 : 275.67 = 275.67 : x
  2. Step 2: Convert to fraction form
    125.85/275.67 = 275.67/x
  3. Step 3: Cross multiply
    125.85x = 275.67 × 275.67
  4. Step 4: Simplify right side
    125.85x = 75,993.37
  5. Step 5: Solve for x
    x = 75,993.37/125.85
  6. Step 6: Final answer
    x = 603.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.