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Finding the Third Proportional to 111,284 and 235,812

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Solution

The third proportional to 111,284 and 235,812 is: 499,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,284 : 235,812 = 235,812 : x
  2. Step 2: Convert to fraction form
    111,284/235,812 = 235,812/x
  3. Step 3: Cross multiply
    111,284x = 235,812 × 235,812
  4. Step 4: Simplify right side
    111,284x = 55,607,299,344
  5. Step 5: Solve for x
    x = 55,607,299,344/111,284
  6. Step 6: Final answer
    x = 499,688.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.