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Finding the Third Proportional to 286,811 and 443,873

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Solution

The third proportional to 286,811 and 443,873 is: 686,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,811 : 443,873 = 443,873 : x
  2. Step 2: Convert to fraction form
    286,811/443,873 = 443,873/x
  3. Step 3: Cross multiply
    286,811x = 443,873 × 443,873
  4. Step 4: Simplify right side
    286,811x = 197,023,240,129
  5. Step 5: Solve for x
    x = 197,023,240,129/286,811
  6. Step 6: Final answer
    x = 686,944.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.