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Finding the Third Proportional to 125.30 and 225.28

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Solution

The third proportional to 125.30 and 225.28 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.30 : 225.28 = 225.28 : x
  2. Step 2: Convert to fraction form
    125.30/225.28 = 225.28/x
  3. Step 3: Cross multiply
    125.30x = 225.28 × 225.28
  4. Step 4: Simplify right side
    125.30x = 50,751.64
  5. Step 5: Solve for x
    x = 50,751.64/125.30
  6. Step 6: Final answer
    x = 405.05

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.