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Finding the Third Proportional to 212.88 and 412.06

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Solution

The third proportional to 212.88 and 412.06 is: 797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 412.06 = 412.06 : x
  2. Step 2: Convert to fraction form
    212.88/412.06 = 412.06/x
  3. Step 3: Cross multiply
    212.88x = 412.06 × 412.06
  4. Step 4: Simplify right side
    212.88x = 169,795.50
  5. Step 5: Solve for x
    x = 169,795.50/212.88
  6. Step 6: Final answer
    x = 797.63

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.