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Finding the Third Proportional to 276,512 and 414,664

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Solution

The third proportional to 276,512 and 414,664 is: 621,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,512 : 414,664 = 414,664 : x
  2. Step 2: Convert to fraction form
    276,512/414,664 = 414,664/x
  3. Step 3: Cross multiply
    276,512x = 414,664 × 414,664
  4. Step 4: Simplify right side
    276,512x = 171,946,232,896
  5. Step 5: Solve for x
    x = 171,946,232,896/276,512
  6. Step 6: Final answer
    x = 621,840.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.