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Finding the Third Proportional to 133,260 and 283,782

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Solution

The third proportional to 133,260 and 283,782 is: 604,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,260 : 283,782 = 283,782 : x
  2. Step 2: Convert to fraction form
    133,260/283,782 = 283,782/x
  3. Step 3: Cross multiply
    133,260x = 283,782 × 283,782
  4. Step 4: Simplify right side
    133,260x = 80,532,223,524
  5. Step 5: Solve for x
    x = 80,532,223,524/133,260
  6. Step 6: Final answer
    x = 604,324.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.