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Finding the Third Proportional to 76,187.50 and 116,215

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Solution

The third proportional to 76,187.50 and 116,215 is: 177,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.50 : 116,215 = 116,215 : x
  2. Step 2: Convert to fraction form
    76,187.50/116,215 = 116,215/x
  3. Step 3: Cross multiply
    76,187.50x = 116,215 × 116,215
  4. Step 4: Simplify right side
    76,187.50x = 13,505,926,225
  5. Step 5: Solve for x
    x = 13,505,926,225/76,187.50
  6. Step 6: Final answer
    x = 177,272.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.