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Finding the Third Proportional to 100,189.69 and 143,515.69

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Solution

The third proportional to 100,189.69 and 143,515.69 is: 205,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,189.69 : 143,515.69 = 143,515.69 : x
  2. Step 2: Convert to fraction form
    100,189.69/143,515.69 = 143,515.69/x
  3. Step 3: Cross multiply
    100,189.69x = 143,515.69 × 143,515.69
  4. Step 4: Simplify right side
    100,189.69x = 20,596,752,558.60
  5. Step 5: Solve for x
    x = 20,596,752,558.60/100,189.69
  6. Step 6: Final answer
    x = 205,577.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.