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Finding the Third Proportional to 311,442 and 681,036

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Solution

The third proportional to 311,442 and 681,036 is: 1,489,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,442 : 681,036 = 681,036 : x
  2. Step 2: Convert to fraction form
    311,442/681,036 = 681,036/x
  3. Step 3: Cross multiply
    311,442x = 681,036 × 681,036
  4. Step 4: Simplify right side
    311,442x = 463,810,033,296
  5. Step 5: Solve for x
    x = 463,810,033,296/311,442
  6. Step 6: Final answer
    x = 1,489,234.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.