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Finding the Third Proportional to 55,639.50 and 123,717.75

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Solution

The third proportional to 55,639.50 and 123,717.75 is: 275,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,639.50 : 123,717.75 = 123,717.75 : x
  2. Step 2: Convert to fraction form
    55,639.50/123,717.75 = 123,717.75/x
  3. Step 3: Cross multiply
    55,639.50x = 123,717.75 × 123,717.75
  4. Step 4: Simplify right side
    55,639.50x = 15,306,081,665.06
  5. Step 5: Solve for x
    x = 15,306,081,665.06/55,639.50
  6. Step 6: Final answer
    x = 275,093.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.