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Finding the Third Proportional to 76.10 and 98.93

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Solution

The third proportional to 76.10 and 98.93 is: 128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 98.93 = 98.93 : x
  2. Step 2: Convert to fraction form
    76.10/98.93 = 98.93/x
  3. Step 3: Cross multiply
    76.10x = 98.93 × 98.93
  4. Step 4: Simplify right side
    76.10x = 9,786.18
  5. Step 5: Solve for x
    x = 9,786.18/76.10
  6. Step 6: Final answer
    x = 128.60

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.