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Finding the Third Proportional to 100,643 and 205,656

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Solution

The third proportional to 100,643 and 205,656 is: 420,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643 : 205,656 = 205,656 : x
  2. Step 2: Convert to fraction form
    100,643/205,656 = 205,656/x
  3. Step 3: Cross multiply
    100,643x = 205,656 × 205,656
  4. Step 4: Simplify right side
    100,643x = 42,294,390,336
  5. Step 5: Solve for x
    x = 42,294,390,336/100,643
  6. Step 6: Final answer
    x = 420,241.75

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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.