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Finding the Third Proportional to 120,425 and 264,685

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Solution

The third proportional to 120,425 and 264,685 is: 581,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,425 : 264,685 = 264,685 : x
  2. Step 2: Convert to fraction form
    120,425/264,685 = 264,685/x
  3. Step 3: Cross multiply
    120,425x = 264,685 × 264,685
  4. Step 4: Simplify right side
    120,425x = 70,058,149,225
  5. Step 5: Solve for x
    x = 70,058,149,225/120,425
  6. Step 6: Final answer
    x = 581,757.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.