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Finding the Third Proportional to 286 and 315

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Solution

The third proportional to 286 and 315 is: 346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 315 = 315 : x
  2. Step 2: Convert to fraction form
    286/315 = 315/x
  3. Step 3: Cross multiply
    286x = 315 × 315
  4. Step 4: Simplify right side
    286x = 99,225
  5. Step 5: Solve for x
    x = 99,225/286
  6. Step 6: Final answer
    x = 346.94

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.