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Finding the Third Proportional to 311,846 and 502,221

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Solution

The third proportional to 311,846 and 502,221 is: 808,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,846 : 502,221 = 502,221 : x
  2. Step 2: Convert to fraction form
    311,846/502,221 = 502,221/x
  3. Step 3: Cross multiply
    311,846x = 502,221 × 502,221
  4. Step 4: Simplify right side
    311,846x = 252,225,932,841
  5. Step 5: Solve for x
    x = 252,225,932,841/311,846
  6. Step 6: Final answer
    x = 808,815.67

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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.