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Finding the Third Proportional to 91,194 and 136,426.50

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Solution

The third proportional to 91,194 and 136,426.50 is: 204,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,194 : 136,426.50 = 136,426.50 : x
  2. Step 2: Convert to fraction form
    91,194/136,426.50 = 136,426.50/x
  3. Step 3: Cross multiply
    91,194x = 136,426.50 × 136,426.50
  4. Step 4: Simplify right side
    91,194x = 18,612,189,902.25
  5. Step 5: Solve for x
    x = 18,612,189,902.25/91,194
  6. Step 6: Final answer
    x = 204,094.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.