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Finding the Third Proportional to 99,180.28 and 213,273.84

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Solution

The third proportional to 99,180.28 and 213,273.84 is: 458,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,180.28 : 213,273.84 = 213,273.84 : x
  2. Step 2: Convert to fraction form
    99,180.28/213,273.84 = 213,273.84/x
  3. Step 3: Cross multiply
    99,180.28x = 213,273.84 × 213,273.84
  4. Step 4: Simplify right side
    99,180.28x = 45,485,732,427.90
  5. Step 5: Solve for x
    x = 45,485,732,427.90/99,180.28
  6. Step 6: Final answer
    x = 458,616.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.