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Finding the Third Proportional to 91,733 and 202,089.75

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Solution

The third proportional to 91,733 and 202,089.75 is: 445,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,733 : 202,089.75 = 202,089.75 : x
  2. Step 2: Convert to fraction form
    91,733/202,089.75 = 202,089.75/x
  3. Step 3: Cross multiply
    91,733x = 202,089.75 × 202,089.75
  4. Step 4: Simplify right side
    91,733x = 40,840,267,055.06
  5. Step 5: Solve for x
    x = 40,840,267,055.06/91,733
  6. Step 6: Final answer
    x = 445,208.02

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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.