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Finding the Third Proportional to 120,750 and 264,828

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Solution

The third proportional to 120,750 and 264,828 is: 580,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,750 : 264,828 = 264,828 : x
  2. Step 2: Convert to fraction form
    120,750/264,828 = 264,828/x
  3. Step 3: Cross multiply
    120,750x = 264,828 × 264,828
  4. Step 4: Simplify right side
    120,750x = 70,133,869,584
  5. Step 5: Solve for x
    x = 70,133,869,584/120,750
  6. Step 6: Final answer
    x = 580,818.80

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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.