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Finding the Third Proportional to 143,979.50 and 198,473

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Solution

The third proportional to 143,979.50 and 198,473 is: 273,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,979.50 : 198,473 = 198,473 : x
  2. Step 2: Convert to fraction form
    143,979.50/198,473 = 198,473/x
  3. Step 3: Cross multiply
    143,979.50x = 198,473 × 198,473
  4. Step 4: Simplify right side
    143,979.50x = 39,391,531,729
  5. Step 5: Solve for x
    x = 39,391,531,729/143,979.50
  6. Step 6: Final answer
    x = 273,591.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.