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Finding the Third Proportional to 262.83 and 385.17

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Solution

The third proportional to 262.83 and 385.17 is: 564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 385.17 = 385.17 : x
  2. Step 2: Convert to fraction form
    262.83/385.17 = 385.17/x
  3. Step 3: Cross multiply
    262.83x = 385.17 × 385.17
  4. Step 4: Simplify right side
    262.83x = 148,357.37
  5. Step 5: Solve for x
    x = 148,357.37/262.83
  6. Step 6: Final answer
    x = 564.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.