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Finding the Third Proportional to 311,811.75 and 502,173

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Solution

The third proportional to 311,811.75 and 502,173 is: 808,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,811.75 : 502,173 = 502,173 : x
  2. Step 2: Convert to fraction form
    311,811.75/502,173 = 502,173/x
  3. Step 3: Cross multiply
    311,811.75x = 502,173 × 502,173
  4. Step 4: Simplify right side
    311,811.75x = 252,177,721,929
  5. Step 5: Solve for x
    x = 252,177,721,929/311,811.75
  6. Step 6: Final answer
    x = 808,749.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.