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Finding the Third Proportional to 98.16 and 145.41

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Solution

The third proportional to 98.16 and 145.41 is: 215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 145.41 = 145.41 : x
  2. Step 2: Convert to fraction form
    98.16/145.41 = 145.41/x
  3. Step 3: Cross multiply
    98.16x = 145.41 × 145.41
  4. Step 4: Simplify right side
    98.16x = 21,142.98
  5. Step 5: Solve for x
    x = 21,142.98/98.16
  6. Step 6: Final answer
    x = 215.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.