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Finding the Third Proportional to 98.02 and 212.34

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Solution

The third proportional to 98.02 and 212.34 is: 460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 212.34 = 212.34 : x
  2. Step 2: Convert to fraction form
    98.02/212.34 = 212.34/x
  3. Step 3: Cross multiply
    98.02x = 212.34 × 212.34
  4. Step 4: Simplify right side
    98.02x = 45,089.87
  5. Step 5: Solve for x
    x = 45,089.87/98.02
  6. Step 6: Final answer
    x = 460.03

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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.