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Finding the Third Proportional to 120,330 and 263,988

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Solution

The third proportional to 120,330 and 263,988 is: 579,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,330 : 263,988 = 263,988 : x
  2. Step 2: Convert to fraction form
    120,330/263,988 = 263,988/x
  3. Step 3: Cross multiply
    120,330x = 263,988 × 263,988
  4. Step 4: Simplify right side
    120,330x = 69,689,664,144
  5. Step 5: Solve for x
    x = 69,689,664,144/120,330
  6. Step 6: Final answer
    x = 579,154.53

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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.