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Finding the Third Proportional to 212.63 and 307.97

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Solution

The third proportional to 212.63 and 307.97 is: 446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 307.97 = 307.97 : x
  2. Step 2: Convert to fraction form
    212.63/307.97 = 307.97/x
  3. Step 3: Cross multiply
    212.63x = 307.97 × 307.97
  4. Step 4: Simplify right side
    212.63x = 94,844.75
  5. Step 5: Solve for x
    x = 94,844.75/212.63
  6. Step 6: Final answer
    x = 446.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.