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Finding the Third Proportional to 216 and 316

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Solution

The third proportional to 216 and 316 is: 462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 316 = 316 : x
  2. Step 2: Convert to fraction form
    216/316 = 316/x
  3. Step 3: Cross multiply
    216x = 316 × 316
  4. Step 4: Simplify right side
    216x = 99,856
  5. Step 5: Solve for x
    x = 99,856/216
  6. Step 6: Final answer
    x = 462.30

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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.