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Finding the Third Proportional to 212.63 and 385.13

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Solution

The third proportional to 212.63 and 385.13 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 385.13 = 385.13 : x
  2. Step 2: Convert to fraction form
    212.63/385.13 = 385.13/x
  3. Step 3: Cross multiply
    212.63x = 385.13 × 385.13
  4. Step 4: Simplify right side
    212.63x = 148,321.27
  5. Step 5: Solve for x
    x = 148,321.27/212.63
  6. Step 6: Final answer
    x = 697.57

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.