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Finding the Third Proportional to 92,403.75 and 198,611.25

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Solution

The third proportional to 92,403.75 and 198,611.25 is: 426,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,403.75 : 198,611.25 = 198,611.25 : x
  2. Step 2: Convert to fraction form
    92,403.75/198,611.25 = 198,611.25/x
  3. Step 3: Cross multiply
    92,403.75x = 198,611.25 × 198,611.25
  4. Step 4: Simplify right side
    92,403.75x = 39,446,428,626.56
  5. Step 5: Solve for x
    x = 39,446,428,626.56/92,403.75
  6. Step 6: Final answer
    x = 426,892.08

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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.