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Finding the Third Proportional to 91,905.75 and 202,435.25

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Solution

The third proportional to 91,905.75 and 202,435.25 is: 445,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,905.75 : 202,435.25 = 202,435.25 : x
  2. Step 2: Convert to fraction form
    91,905.75/202,435.25 = 202,435.25/x
  3. Step 3: Cross multiply
    91,905.75x = 202,435.25 × 202,435.25
  4. Step 4: Simplify right side
    91,905.75x = 40,980,030,442.56
  5. Step 5: Solve for x
    x = 40,980,030,442.56/91,905.75
  6. Step 6: Final answer
    x = 445,891.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.