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Finding the Third Proportional to 289,872.84 and 433,476.56

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Solution

The third proportional to 289,872.84 and 433,476.56 is: 648,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,872.84 : 433,476.56 = 433,476.56 : x
  2. Step 2: Convert to fraction form
    289,872.84/433,476.56 = 433,476.56/x
  3. Step 3: Cross multiply
    289,872.84x = 433,476.56 × 433,476.56
  4. Step 4: Simplify right side
    289,872.84x = 187,901,930,236.82
  5. Step 5: Solve for x
    x = 187,901,930,236.82/289,872.84
  6. Step 6: Final answer
    x = 648,221.92

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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.