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Finding the Third Proportional to 216.95 and 317.83

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Solution

The third proportional to 216.95 and 317.83 is: 465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.95 : 317.83 = 317.83 : x
  2. Step 2: Convert to fraction form
    216.95/317.83 = 317.83/x
  3. Step 3: Cross multiply
    216.95x = 317.83 × 317.83
  4. Step 4: Simplify right side
    216.95x = 101,015.96
  5. Step 5: Solve for x
    x = 101,015.96/216.95
  6. Step 6: Final answer
    x = 465.62

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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.