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Finding the Third Proportional to 98.02 and 212.19

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Solution

The third proportional to 98.02 and 212.19 is: 459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 212.19 = 212.19 : x
  2. Step 2: Convert to fraction form
    98.02/212.19 = 212.19/x
  3. Step 3: Cross multiply
    98.02x = 212.19 × 212.19
  4. Step 4: Simplify right side
    98.02x = 45,026.67
  5. Step 5: Solve for x
    x = 45,026.67/98.02
  6. Step 6: Final answer
    x = 459.35

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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.