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Finding the Third Proportional to 289,923 and 433,534

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Solution

The third proportional to 289,923 and 433,534 is: 648,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,923 : 433,534 = 433,534 : x
  2. Step 2: Convert to fraction form
    289,923/433,534 = 433,534/x
  3. Step 3: Cross multiply
    289,923x = 433,534 × 433,534
  4. Step 4: Simplify right side
    289,923x = 187,951,729,156
  5. Step 5: Solve for x
    x = 187,951,729,156/289,923
  6. Step 6: Final answer
    x = 648,281.54

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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.