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Finding the Third Proportional to 301,327.50 and 668,739

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Solution

The third proportional to 301,327.50 and 668,739 is: 1,484,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,327.50 : 668,739 = 668,739 : x
  2. Step 2: Convert to fraction form
    301,327.50/668,739 = 668,739/x
  3. Step 3: Cross multiply
    301,327.50x = 668,739 × 668,739
  4. Step 4: Simplify right side
    301,327.50x = 447,211,850,121
  5. Step 5: Solve for x
    x = 447,211,850,121/301,327.50
  6. Step 6: Final answer
    x = 1,484,138.85

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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.