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Finding the Third Proportional to 106,899 and 143,986

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Solution

The third proportional to 106,899 and 143,986 is: 193,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,899 : 143,986 = 143,986 : x
  2. Step 2: Convert to fraction form
    106,899/143,986 = 143,986/x
  3. Step 3: Cross multiply
    106,899x = 143,986 × 143,986
  4. Step 4: Simplify right side
    106,899x = 20,731,968,196
  5. Step 5: Solve for x
    x = 20,731,968,196/106,899
  6. Step 6: Final answer
    x = 193,939.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.