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Finding the Third Proportional to 77,760.75 and 160,428.75

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Solution

The third proportional to 77,760.75 and 160,428.75 is: 330,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760.75 : 160,428.75 = 160,428.75 : x
  2. Step 2: Convert to fraction form
    77,760.75/160,428.75 = 160,428.75/x
  3. Step 3: Cross multiply
    77,760.75x = 160,428.75 × 160,428.75
  4. Step 4: Simplify right side
    77,760.75x = 25,737,383,826.56
  5. Step 5: Solve for x
    x = 25,737,383,826.56/77,760.75
  6. Step 6: Final answer
    x = 330,981.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.