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Finding the Third Proportional to 425,699 and 659,204

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Solution

The third proportional to 425,699 and 659,204 is: 1,020,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,699 : 659,204 = 659,204 : x
  2. Step 2: Convert to fraction form
    425,699/659,204 = 659,204/x
  3. Step 3: Cross multiply
    425,699x = 659,204 × 659,204
  4. Step 4: Simplify right side
    425,699x = 434,549,913,616
  5. Step 5: Solve for x
    x = 434,549,913,616/425,699
  6. Step 6: Final answer
    x = 1,020,791.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.