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Finding the Third Proportional to 216,156 and 323,370

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Solution

The third proportional to 216,156 and 323,370 is: 483,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,156 : 323,370 = 323,370 : x
  2. Step 2: Convert to fraction form
    216,156/323,370 = 323,370/x
  3. Step 3: Cross multiply
    216,156x = 323,370 × 323,370
  4. Step 4: Simplify right side
    216,156x = 104,568,156,900
  5. Step 5: Solve for x
    x = 104,568,156,900/216,156
  6. Step 6: Final answer
    x = 483,762.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.