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Finding the Third Proportional to 120,764 and 264,856

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Solution

The third proportional to 120,764 and 264,856 is: 580,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,764 : 264,856 = 264,856 : x
  2. Step 2: Convert to fraction form
    120,764/264,856 = 264,856/x
  3. Step 3: Cross multiply
    120,764x = 264,856 × 264,856
  4. Step 4: Simplify right side
    120,764x = 70,148,700,736
  5. Step 5: Solve for x
    x = 70,148,700,736/120,764
  6. Step 6: Final answer
    x = 580,874.27

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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.