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Finding the Third Proportional to 301,278 and 668,652

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Solution

The third proportional to 301,278 and 668,652 is: 1,483,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,278 : 668,652 = 668,652 : x
  2. Step 2: Convert to fraction form
    301,278/668,652 = 668,652/x
  3. Step 3: Cross multiply
    301,278x = 668,652 × 668,652
  4. Step 4: Simplify right side
    301,278x = 447,095,497,104
  5. Step 5: Solve for x
    x = 447,095,497,104/301,278
  6. Step 6: Final answer
    x = 1,483,996.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.