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Finding the Third Proportional to 120,144 and 264,270

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Solution

The third proportional to 120,144 and 264,270 is: 581,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,144 : 264,270 = 264,270 : x
  2. Step 2: Convert to fraction form
    120,144/264,270 = 264,270/x
  3. Step 3: Cross multiply
    120,144x = 264,270 × 264,270
  4. Step 4: Simplify right side
    120,144x = 69,838,632,900
  5. Step 5: Solve for x
    x = 69,838,632,900/120,144
  6. Step 6: Final answer
    x = 581,291.06

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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.