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Finding the Third Proportional to 216,828 and 323,370

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Solution

The third proportional to 216,828 and 323,370 is: 482,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,828 : 323,370 = 323,370 : x
  2. Step 2: Convert to fraction form
    216,828/323,370 = 323,370/x
  3. Step 3: Cross multiply
    216,828x = 323,370 × 323,370
  4. Step 4: Simplify right side
    216,828x = 104,568,156,900
  5. Step 5: Solve for x
    x = 104,568,156,900/216,828
  6. Step 6: Final answer
    x = 482,263.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.