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Finding the Third Proportional to 150,193.50 and 209,979

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Solution

The third proportional to 150,193.50 and 209,979 is: 293,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,193.50 : 209,979 = 209,979 : x
  2. Step 2: Convert to fraction form
    150,193.50/209,979 = 209,979/x
  3. Step 3: Cross multiply
    150,193.50x = 209,979 × 209,979
  4. Step 4: Simplify right side
    150,193.50x = 44,091,180,441
  5. Step 5: Solve for x
    x = 44,091,180,441/150,193.50
  6. Step 6: Final answer
    x = 293,562.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.