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Finding the Third Proportional to 215,764.69 and 323,646.84

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Solution

The third proportional to 215,764.69 and 323,646.84 is: 485,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,764.69 : 323,646.84 = 323,646.84 : x
  2. Step 2: Convert to fraction form
    215,764.69/323,646.84 = 323,646.84/x
  3. Step 3: Cross multiply
    215,764.69x = 323,646.84 × 323,646.84
  4. Step 4: Simplify right side
    215,764.69x = 104,747,279,469.34
  5. Step 5: Solve for x
    x = 104,747,279,469.34/215,764.69
  6. Step 6: Final answer
    x = 485,469.98

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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.