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Finding the Third Proportional to 277,238.50 and 417,828.75

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Solution

The third proportional to 277,238.50 and 417,828.75 is: 629,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,238.50 : 417,828.75 = 417,828.75 : x
  2. Step 2: Convert to fraction form
    277,238.50/417,828.75 = 417,828.75/x
  3. Step 3: Cross multiply
    277,238.50x = 417,828.75 × 417,828.75
  4. Step 4: Simplify right side
    277,238.50x = 174,580,864,326.56
  5. Step 5: Solve for x
    x = 174,580,864,326.56/277,238.50
  6. Step 6: Final answer
    x = 629,713.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.