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Finding the Third Proportional to 243.21 and 385.80

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Solution

The third proportional to 243.21 and 385.80 is: 612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.21 : 385.80 = 385.80 : x
  2. Step 2: Convert to fraction form
    243.21/385.80 = 385.80/x
  3. Step 3: Cross multiply
    243.21x = 385.80 × 385.80
  4. Step 4: Simplify right side
    243.21x = 148,845.26
  5. Step 5: Solve for x
    x = 148,845.26/243.21
  6. Step 6: Final answer
    x = 612.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.