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Finding the Third Proportional to 129,986 and 283,764

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Solution

The third proportional to 129,986 and 283,764 is: 619,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,986 : 283,764 = 283,764 : x
  2. Step 2: Convert to fraction form
    129,986/283,764 = 283,764/x
  3. Step 3: Cross multiply
    129,986x = 283,764 × 283,764
  4. Step 4: Simplify right side
    129,986x = 80,522,007,696
  5. Step 5: Solve for x
    x = 80,522,007,696/129,986
  6. Step 6: Final answer
    x = 619,466.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.