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Finding the Third Proportional to 120,861 and 264,951

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Solution

The third proportional to 120,861 and 264,951 is: 580,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,861 : 264,951 = 264,951 : x
  2. Step 2: Convert to fraction form
    120,861/264,951 = 264,951/x
  3. Step 3: Cross multiply
    120,861x = 264,951 × 264,951
  4. Step 4: Simplify right side
    120,861x = 70,199,032,401
  5. Step 5: Solve for x
    x = 70,199,032,401/120,861
  6. Step 6: Final answer
    x = 580,824.52

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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.