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Finding the Third Proportional to 216,158 and 327,213

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Solution

The third proportional to 216,158 and 327,213 is: 495,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,158 : 327,213 = 327,213 : x
  2. Step 2: Convert to fraction form
    216,158/327,213 = 327,213/x
  3. Step 3: Cross multiply
    216,158x = 327,213 × 327,213
  4. Step 4: Simplify right side
    216,158x = 107,068,347,369
  5. Step 5: Solve for x
    x = 107,068,347,369/216,158
  6. Step 6: Final answer
    x = 495,324.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.