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Finding the Third Proportional to 100,516 and 208,322

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Solution

The third proportional to 100,516 and 208,322 is: 431,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,516 : 208,322 = 208,322 : x
  2. Step 2: Convert to fraction form
    100,516/208,322 = 208,322/x
  3. Step 3: Cross multiply
    100,516x = 208,322 × 208,322
  4. Step 4: Simplify right side
    100,516x = 43,398,055,684
  5. Step 5: Solve for x
    x = 43,398,055,684/100,516
  6. Step 6: Final answer
    x = 431,752.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.