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Finding the Third Proportional to 179,005.50 and 389,965.50

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Solution

The third proportional to 179,005.50 and 389,965.50 is: 849,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,005.50 : 389,965.50 = 389,965.50 : x
  2. Step 2: Convert to fraction form
    179,005.50/389,965.50 = 389,965.50/x
  3. Step 3: Cross multiply
    179,005.50x = 389,965.50 × 389,965.50
  4. Step 4: Simplify right side
    179,005.50x = 152,073,091,190.25
  5. Step 5: Solve for x
    x = 152,073,091,190.25/179,005.50
  6. Step 6: Final answer
    x = 849,544.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.