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Finding the Third Proportional to 100,890.50 and 141,395.25

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Solution

The third proportional to 100,890.50 and 141,395.25 is: 198,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,890.50 : 141,395.25 = 141,395.25 : x
  2. Step 2: Convert to fraction form
    100,890.50/141,395.25 = 141,395.25/x
  3. Step 3: Cross multiply
    100,890.50x = 141,395.25 × 141,395.25
  4. Step 4: Simplify right side
    100,890.50x = 19,992,616,722.56
  5. Step 5: Solve for x
    x = 19,992,616,722.56/100,890.50
  6. Step 6: Final answer
    x = 198,161.54

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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.