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Finding the Third Proportional to 228,631.50 and 321,678.75

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Solution

The third proportional to 228,631.50 and 321,678.75 is: 452,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,631.50 : 321,678.75 = 321,678.75 : x
  2. Step 2: Convert to fraction form
    228,631.50/321,678.75 = 321,678.75/x
  3. Step 3: Cross multiply
    228,631.50x = 321,678.75 × 321,678.75
  4. Step 4: Simplify right side
    228,631.50x = 103,477,218,201.56
  5. Step 5: Solve for x
    x = 103,477,218,201.56/228,631.50
  6. Step 6: Final answer
    x = 452,593.88

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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.