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Finding the Third Proportional to 88,407 and 190,932.75

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Solution

The third proportional to 88,407 and 190,932.75 is: 412,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,407 : 190,932.75 = 190,932.75 : x
  2. Step 2: Convert to fraction form
    88,407/190,932.75 = 190,932.75/x
  3. Step 3: Cross multiply
    88,407x = 190,932.75 × 190,932.75
  4. Step 4: Simplify right side
    88,407x = 36,455,315,022.56
  5. Step 5: Solve for x
    x = 36,455,315,022.56/88,407
  6. Step 6: Final answer
    x = 412,357.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.