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Finding the Third Proportional to 211,813 and 330,223

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Solution

The third proportional to 211,813 and 330,223 is: 514,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,813 : 330,223 = 330,223 : x
  2. Step 2: Convert to fraction form
    211,813/330,223 = 330,223/x
  3. Step 3: Cross multiply
    211,813x = 330,223 × 330,223
  4. Step 4: Simplify right side
    211,813x = 109,047,229,729
  5. Step 5: Solve for x
    x = 109,047,229,729/211,813
  6. Step 6: Final answer
    x = 514,827.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.