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Finding the Third Proportional to 216,996 and 325,282

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Solution

The third proportional to 216,996 and 325,282 is: 487,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,996 : 325,282 = 325,282 : x
  2. Step 2: Convert to fraction form
    216,996/325,282 = 325,282/x
  3. Step 3: Cross multiply
    216,996x = 325,282 × 325,282
  4. Step 4: Simplify right side
    216,996x = 105,808,379,524
  5. Step 5: Solve for x
    x = 105,808,379,524/216,996
  6. Step 6: Final answer
    x = 487,605.21

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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.