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Finding the Third Proportional to 2.35 and 4.40

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Solution

The third proportional to 2.35 and 4.40 is: 8.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.35 : 4.40 = 4.40 : x
  2. Step 2: Convert to fraction form
    2.35/4.40 = 4.40/x
  3. Step 3: Cross multiply
    2.35x = 4.40 × 4.40
  4. Step 4: Simplify right side
    2.35x = 19.40
  5. Step 5: Solve for x
    x = 19.40/2.35
  6. Step 6: Final answer
    x = 8.25

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.