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Finding the Third Proportional to 119,977.50 and 277,755.75

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Solution

The third proportional to 119,977.50 and 277,755.75 is: 643,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,977.50 : 277,755.75 = 277,755.75 : x
  2. Step 2: Convert to fraction form
    119,977.50/277,755.75 = 277,755.75/x
  3. Step 3: Cross multiply
    119,977.50x = 277,755.75 × 277,755.75
  4. Step 4: Simplify right side
    119,977.50x = 77,148,256,658.06
  5. Step 5: Solve for x
    x = 77,148,256,658.06/119,977.50
  6. Step 6: Final answer
    x = 643,022.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.