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Finding the Third Proportional to 208,442 and 406,516

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Solution

The third proportional to 208,442 and 406,516 is: 792,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442 : 406,516 = 406,516 : x
  2. Step 2: Convert to fraction form
    208,442/406,516 = 406,516/x
  3. Step 3: Cross multiply
    208,442x = 406,516 × 406,516
  4. Step 4: Simplify right side
    208,442x = 165,255,258,256
  5. Step 5: Solve for x
    x = 165,255,258,256/208,442
  6. Step 6: Final answer
    x = 792,811.71

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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.