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Finding the Third Proportional to 263.36 and 385.51

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Solution

The third proportional to 263.36 and 385.51 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.36 : 385.51 = 385.51 : x
  2. Step 2: Convert to fraction form
    263.36/385.51 = 385.51/x
  3. Step 3: Cross multiply
    263.36x = 385.51 × 385.51
  4. Step 4: Simplify right side
    263.36x = 148,621.54
  5. Step 5: Solve for x
    x = 148,621.54/263.36
  6. Step 6: Final answer
    x = 564.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.