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Finding the Third Proportional to 100,514 and 208,318

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Solution

The third proportional to 100,514 and 208,318 is: 431,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,514 : 208,318 = 208,318 : x
  2. Step 2: Convert to fraction form
    100,514/208,318 = 208,318/x
  3. Step 3: Cross multiply
    100,514x = 208,318 × 208,318
  4. Step 4: Simplify right side
    100,514x = 43,396,389,124
  5. Step 5: Solve for x
    x = 43,396,389,124/100,514
  6. Step 6: Final answer
    x = 431,744.72

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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.