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Finding the Third Proportional to 1.72 and 2.19

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Solution

The third proportional to 1.72 and 2.19 is: 2.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.72 : 2.19 = 2.19 : x
  2. Step 2: Convert to fraction form
    1.72/2.19 = 2.19/x
  3. Step 3: Cross multiply
    1.72x = 2.19 × 2.19
  4. Step 4: Simplify right side
    1.72x = 4.81
  5. Step 5: Solve for x
    x = 4.81/1.72
  6. Step 6: Final answer
    x = 2.80

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.