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Finding the Third Proportional to 276,144 and 408,960

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Solution

The third proportional to 276,144 and 408,960 is: 605,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,144 : 408,960 = 408,960 : x
  2. Step 2: Convert to fraction form
    276,144/408,960 = 408,960/x
  3. Step 3: Cross multiply
    276,144x = 408,960 × 408,960
  4. Step 4: Simplify right side
    276,144x = 167,248,281,600
  5. Step 5: Solve for x
    x = 167,248,281,600/276,144
  6. Step 6: Final answer
    x = 605,656.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.