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Finding the Third Proportional to 216.42 and 355.01

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Solution

The third proportional to 216.42 and 355.01 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 355.01 = 355.01 : x
  2. Step 2: Convert to fraction form
    216.42/355.01 = 355.01/x
  3. Step 3: Cross multiply
    216.42x = 355.01 × 355.01
  4. Step 4: Simplify right side
    216.42x = 126,030.55
  5. Step 5: Solve for x
    x = 126,030.55/216.42
  6. Step 6: Final answer
    x = 582.34

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.