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Finding the Third Proportional to 215,172 and 439,848

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Solution

The third proportional to 215,172 and 439,848 is: 899,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,172 : 439,848 = 439,848 : x
  2. Step 2: Convert to fraction form
    215,172/439,848 = 439,848/x
  3. Step 3: Cross multiply
    215,172x = 439,848 × 439,848
  4. Step 4: Simplify right side
    215,172x = 193,466,263,104
  5. Step 5: Solve for x
    x = 193,466,263,104/215,172
  6. Step 6: Final answer
    x = 899,123.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.