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Finding the Third Proportional to 208,469 and 406,570

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Solution

The third proportional to 208,469 and 406,570 is: 792,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,469 : 406,570 = 406,570 : x
  2. Step 2: Convert to fraction form
    208,469/406,570 = 406,570/x
  3. Step 3: Cross multiply
    208,469x = 406,570 × 406,570
  4. Step 4: Simplify right side
    208,469x = 165,299,164,900
  5. Step 5: Solve for x
    x = 165,299,164,900/208,469
  6. Step 6: Final answer
    x = 792,919.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.