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Finding the Third Proportional to 216.50 and 336.13

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Solution

The third proportional to 216.50 and 336.13 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 336.13 = 336.13 : x
  2. Step 2: Convert to fraction form
    216.50/336.13 = 336.13/x
  3. Step 3: Cross multiply
    216.50x = 336.13 × 336.13
  4. Step 4: Simplify right side
    216.50x = 112,980.02
  5. Step 5: Solve for x
    x = 112,980.02/216.50
  6. Step 6: Final answer
    x = 521.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.