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Finding the Third Proportional to 289,873 and 433,477

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Solution

The third proportional to 289,873 and 433,477 is: 648,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,873 : 433,477 = 433,477 : x
  2. Step 2: Convert to fraction form
    289,873/433,477 = 433,477/x
  3. Step 3: Cross multiply
    289,873x = 433,477 × 433,477
  4. Step 4: Simplify right side
    289,873x = 187,902,309,529
  5. Step 5: Solve for x
    x = 187,902,309,529/289,873
  6. Step 6: Final answer
    x = 648,222.88

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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.