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Finding the Third Proportional to 45.56 and 98.58

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Solution

The third proportional to 45.56 and 98.58 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.56 : 98.58 = 98.58 : x
  2. Step 2: Convert to fraction form
    45.56/98.58 = 98.58/x
  3. Step 3: Cross multiply
    45.56x = 98.58 × 98.58
  4. Step 4: Simplify right side
    45.56x = 9,717.65
  5. Step 5: Solve for x
    x = 9,717.65/45.56
  6. Step 6: Final answer
    x = 213.28

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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.