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Finding the Third Proportional to 51,391.50 and 77,088.75

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Solution

The third proportional to 51,391.50 and 77,088.75 is: 115,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,391.50 : 77,088.75 = 77,088.75 : x
  2. Step 2: Convert to fraction form
    51,391.50/77,088.75 = 77,088.75/x
  3. Step 3: Cross multiply
    51,391.50x = 77,088.75 × 77,088.75
  4. Step 4: Simplify right side
    51,391.50x = 5,942,675,376.56
  5. Step 5: Solve for x
    x = 5,942,675,376.56/51,391.50
  6. Step 6: Final answer
    x = 115,635.38

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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.