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Finding the Third Proportional to 133,630 and 287,994

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Solution

The third proportional to 133,630 and 287,994 is: 620,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,630 : 287,994 = 287,994 : x
  2. Step 2: Convert to fraction form
    133,630/287,994 = 287,994/x
  3. Step 3: Cross multiply
    133,630x = 287,994 × 287,994
  4. Step 4: Simplify right side
    133,630x = 82,940,544,036
  5. Step 5: Solve for x
    x = 82,940,544,036/133,630
  6. Step 6: Final answer
    x = 620,673.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.