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Finding the Third Proportional to 292,588.88 and 638,759.25

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Solution

The third proportional to 292,588.88 and 638,759.25 is: 1,394,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,588.88 : 638,759.25 = 638,759.25 : x
  2. Step 2: Convert to fraction form
    292,588.88/638,759.25 = 638,759.25/x
  3. Step 3: Cross multiply
    292,588.88x = 638,759.25 × 638,759.25
  4. Step 4: Simplify right side
    292,588.88x = 408,013,379,460.56
  5. Step 5: Solve for x
    x = 408,013,379,460.56/292,588.88
  6. Step 6: Final answer
    x = 1,394,493.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.