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Finding the Third Proportional to 215,836 and 504,120

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Solution

The third proportional to 215,836 and 504,120 is: 1,177,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,836 : 504,120 = 504,120 : x
  2. Step 2: Convert to fraction form
    215,836/504,120 = 504,120/x
  3. Step 3: Cross multiply
    215,836x = 504,120 × 504,120
  4. Step 4: Simplify right side
    215,836x = 254,136,974,400
  5. Step 5: Solve for x
    x = 254,136,974,400/215,836
  6. Step 6: Final answer
    x = 1,177,454.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.