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Finding the Third Proportional to 252.13 and 385.63

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Solution

The third proportional to 252.13 and 385.63 is: 589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.13 : 385.63 = 385.63 : x
  2. Step 2: Convert to fraction form
    252.13/385.63 = 385.63/x
  3. Step 3: Cross multiply
    252.13x = 385.63 × 385.63
  4. Step 4: Simplify right side
    252.13x = 148,706.64
  5. Step 5: Solve for x
    x = 148,706.64/252.13
  6. Step 6: Final answer
    x = 589.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.