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Finding the Third Proportional to 434,680 and 664,936

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Solution

The third proportional to 434,680 and 664,936 is: 1,017,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,680 : 664,936 = 664,936 : x
  2. Step 2: Convert to fraction form
    434,680/664,936 = 664,936/x
  3. Step 3: Cross multiply
    434,680x = 664,936 × 664,936
  4. Step 4: Simplify right side
    434,680x = 442,139,884,096
  5. Step 5: Solve for x
    x = 442,139,884,096/434,680
  6. Step 6: Final answer
    x = 1,017,161.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.