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Finding the Third Proportional to 3.07 and 4.57

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Solution

The third proportional to 3.07 and 4.57 is: 6.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.07 : 4.57 = 4.57 : x
  2. Step 2: Convert to fraction form
    3.07/4.57 = 4.57/x
  3. Step 3: Cross multiply
    3.07x = 4.57 × 4.57
  4. Step 4: Simplify right side
    3.07x = 20.89
  5. Step 5: Solve for x
    x = 20.89/3.07
  6. Step 6: Final answer
    x = 6.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.