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Finding the Third Proportional to 434,684 and 664,942

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Solution

The third proportional to 434,684 and 664,942 is: 1,017,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,684 : 664,942 = 664,942 : x
  2. Step 2: Convert to fraction form
    434,684/664,942 = 664,942/x
  3. Step 3: Cross multiply
    434,684x = 664,942 × 664,942
  4. Step 4: Simplify right side
    434,684x = 442,147,863,364
  5. Step 5: Solve for x
    x = 442,147,863,364/434,684
  6. Step 6: Final answer
    x = 1,017,170.78

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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.