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Finding the Third Proportional to 4.62 and 7.01

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Solution

The third proportional to 4.62 and 7.01 is: 10.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 7.01 = 7.01 : x
  2. Step 2: Convert to fraction form
    4.62/7.01 = 7.01/x
  3. Step 3: Cross multiply
    4.62x = 7.01 × 7.01
  4. Step 4: Simplify right side
    4.62x = 49.21
  5. Step 5: Solve for x
    x = 49.21/4.62
  6. Step 6: Final answer
    x = 10.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.