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Finding the Third Proportional to 212.15 and 442.10

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Solution

The third proportional to 212.15 and 442.10 is: 921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.15 : 442.10 = 442.10 : x
  2. Step 2: Convert to fraction form
    212.15/442.10 = 442.10/x
  3. Step 3: Cross multiply
    212.15x = 442.10 × 442.10
  4. Step 4: Simplify right side
    212.15x = 195,451.20
  5. Step 5: Solve for x
    x = 195,451.20/212.15
  6. Step 6: Final answer
    x = 921.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.