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Finding the Third Proportional to 98.16 and 213.40

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Solution

The third proportional to 98.16 and 213.40 is: 463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 213.40 = 213.40 : x
  2. Step 2: Convert to fraction form
    98.16/213.40 = 213.40/x
  3. Step 3: Cross multiply
    98.16x = 213.40 × 213.40
  4. Step 4: Simplify right side
    98.16x = 45,538.89
  5. Step 5: Solve for x
    x = 45,538.89/98.16
  6. Step 6: Final answer
    x = 463.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.