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Finding the Third Proportional to 277,496.25 and 415,131.75

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Solution

The third proportional to 277,496.25 and 415,131.75 is: 621,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,496.25 : 415,131.75 = 415,131.75 : x
  2. Step 2: Convert to fraction form
    277,496.25/415,131.75 = 415,131.75/x
  3. Step 3: Cross multiply
    277,496.25x = 415,131.75 × 415,131.75
  4. Step 4: Simplify right side
    277,496.25x = 172,334,369,858.06
  5. Step 5: Solve for x
    x = 172,334,369,858.06/277,496.25
  6. Step 6: Final answer
    x = 621,033.15

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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.