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Finding the Third Proportional to 215,986.50 and 304,023.38

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Solution

The third proportional to 215,986.50 and 304,023.38 is: 427,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,986.50 : 304,023.38 = 304,023.38 : x
  2. Step 2: Convert to fraction form
    215,986.50/304,023.38 = 304,023.38/x
  3. Step 3: Cross multiply
    215,986.50x = 304,023.38 × 304,023.38
  4. Step 4: Simplify right side
    215,986.50x = 92,430,212,546.39
  5. Step 5: Solve for x
    x = 92,430,212,546.39/215,986.50
  6. Step 6: Final answer
    x = 427,944.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.