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Finding the Third Proportional to 45.65 and 98.51

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Solution

The third proportional to 45.65 and 98.51 is: 212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.65 : 98.51 = 98.51 : x
  2. Step 2: Convert to fraction form
    45.65/98.51 = 98.51/x
  3. Step 3: Cross multiply
    45.65x = 98.51 × 98.51
  4. Step 4: Simplify right side
    45.65x = 9,704.44
  5. Step 5: Solve for x
    x = 9,704.44/45.65
  6. Step 6: Final answer
    x = 212.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.