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Finding the Third Proportional to 141,328.50 and 198,069.75

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Solution

The third proportional to 141,328.50 and 198,069.75 is: 277,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,328.50 : 198,069.75 = 198,069.75 : x
  2. Step 2: Convert to fraction form
    141,328.50/198,069.75 = 198,069.75/x
  3. Step 3: Cross multiply
    141,328.50x = 198,069.75 × 198,069.75
  4. Step 4: Simplify right side
    141,328.50x = 39,231,625,865.06
  5. Step 5: Solve for x
    x = 39,231,625,865.06/141,328.50
  6. Step 6: Final answer
    x = 277,591.75

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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.