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Finding the Third Proportional to 216,549 and 324,495

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Solution

The third proportional to 216,549 and 324,495 is: 486,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,549 : 324,495 = 324,495 : x
  2. Step 2: Convert to fraction form
    216,549/324,495 = 324,495/x
  3. Step 3: Cross multiply
    216,549x = 324,495 × 324,495
  4. Step 4: Simplify right side
    216,549x = 105,297,005,025
  5. Step 5: Solve for x
    x = 105,297,005,025/216,549
  6. Step 6: Final answer
    x = 486,250.25

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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.