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Finding the Third Proportional to 77,716.50 and 167,839.50

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Solution

The third proportional to 77,716.50 and 167,839.50 is: 362,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716.50 : 167,839.50 = 167,839.50 : x
  2. Step 2: Convert to fraction form
    77,716.50/167,839.50 = 167,839.50/x
  3. Step 3: Cross multiply
    77,716.50x = 167,839.50 × 167,839.50
  4. Step 4: Simplify right side
    77,716.50x = 28,170,097,760.25
  5. Step 5: Solve for x
    x = 28,170,097,760.25/77,716.50
  6. Step 6: Final answer
    x = 362,472.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.