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Finding the Third Proportional to 120,087 and 261,315

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Solution

The third proportional to 120,087 and 261,315 is: 568,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,087 : 261,315 = 261,315 : x
  2. Step 2: Convert to fraction form
    120,087/261,315 = 261,315/x
  3. Step 3: Cross multiply
    120,087x = 261,315 × 261,315
  4. Step 4: Simplify right side
    120,087x = 68,285,529,225
  5. Step 5: Solve for x
    x = 68,285,529,225/120,087
  6. Step 6: Final answer
    x = 568,633.82

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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.