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Finding the Third Proportional to 216,996 and 331,746.75

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Solution

The third proportional to 216,996 and 331,746.75 is: 507,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,996 : 331,746.75 = 331,746.75 : x
  2. Step 2: Convert to fraction form
    216,996/331,746.75 = 331,746.75/x
  3. Step 3: Cross multiply
    216,996x = 331,746.75 × 331,746.75
  4. Step 4: Simplify right side
    216,996x = 110,055,906,135.56
  5. Step 5: Solve for x
    x = 110,055,906,135.56/216,996
  6. Step 6: Final answer
    x = 507,179.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.