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Finding the Third Proportional to 277,455 and 415,422.75

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Solution

The third proportional to 277,455 and 415,422.75 is: 621,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,455 : 415,422.75 = 415,422.75 : x
  2. Step 2: Convert to fraction form
    277,455/415,422.75 = 415,422.75/x
  3. Step 3: Cross multiply
    277,455x = 415,422.75 × 415,422.75
  4. Step 4: Simplify right side
    277,455x = 172,576,061,217.56
  5. Step 5: Solve for x
    x = 172,576,061,217.56/277,455
  6. Step 6: Final answer
    x = 621,996.58

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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.