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Finding the Third Proportional to 434,667 and 664,916

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Solution

The third proportional to 434,667 and 664,916 is: 1,017,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,667 : 664,916 = 664,916 : x
  2. Step 2: Convert to fraction form
    434,667/664,916 = 664,916/x
  3. Step 3: Cross multiply
    434,667x = 664,916 × 664,916
  4. Step 4: Simplify right side
    434,667x = 442,113,287,056
  5. Step 5: Solve for x
    x = 442,113,287,056/434,667
  6. Step 6: Final answer
    x = 1,017,131.02

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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.