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Finding the Third Proportional to 289,935 and 433,551

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Solution

The third proportional to 289,935 and 433,551 is: 648,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,935 : 433,551 = 433,551 : x
  2. Step 2: Convert to fraction form
    289,935/433,551 = 433,551/x
  3. Step 3: Cross multiply
    289,935x = 433,551 × 433,551
  4. Step 4: Simplify right side
    289,935x = 187,966,469,601
  5. Step 5: Solve for x
    x = 187,966,469,601/289,935
  6. Step 6: Final answer
    x = 648,305.55

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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.