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Finding the Third Proportional to 1.77 and 4.53

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Solution

The third proportional to 1.77 and 4.53 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.77 : 4.53 = 4.53 : x
  2. Step 2: Convert to fraction form
    1.77/4.53 = 4.53/x
  3. Step 3: Cross multiply
    1.77x = 4.53 × 4.53
  4. Step 4: Simplify right side
    1.77x = 20.51
  5. Step 5: Solve for x
    x = 20.51/1.77
  6. Step 6: Final answer
    x = 11.61

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.