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Finding the Third Proportional to 100,327 and 208,957

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Solution

The third proportional to 100,327 and 208,957 is: 435,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,327 : 208,957 = 208,957 : x
  2. Step 2: Convert to fraction form
    100,327/208,957 = 208,957/x
  3. Step 3: Cross multiply
    100,327x = 208,957 × 208,957
  4. Step 4: Simplify right side
    100,327x = 43,663,027,849
  5. Step 5: Solve for x
    x = 43,663,027,849/100,327
  6. Step 6: Final answer
    x = 435,207.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.