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Finding the Third Proportional to 100,642 and 205,653

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Solution

The third proportional to 100,642 and 205,653 is: 420,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642 : 205,653 = 205,653 : x
  2. Step 2: Convert to fraction form
    100,642/205,653 = 205,653/x
  3. Step 3: Cross multiply
    100,642x = 205,653 × 205,653
  4. Step 4: Simplify right side
    100,642x = 42,293,156,409
  5. Step 5: Solve for x
    x = 42,293,156,409/100,642
  6. Step 6: Final answer
    x = 420,233.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.