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Finding the Third Proportional to 76,939.50 and 121,728

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Solution

The third proportional to 76,939.50 and 121,728 is: 192,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,939.50 : 121,728 = 121,728 : x
  2. Step 2: Convert to fraction form
    76,939.50/121,728 = 121,728/x
  3. Step 3: Cross multiply
    76,939.50x = 121,728 × 121,728
  4. Step 4: Simplify right side
    76,939.50x = 14,817,705,984
  5. Step 5: Solve for x
    x = 14,817,705,984/76,939.50
  6. Step 6: Final answer
    x = 192,589.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.