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Finding the Third Proportional to 389,992.13 and 587,754.75

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Solution

The third proportional to 389,992.13 and 587,754.75 is: 885,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,992.13 : 587,754.75 = 587,754.75 : x
  2. Step 2: Convert to fraction form
    389,992.13/587,754.75 = 587,754.75/x
  3. Step 3: Cross multiply
    389,992.13x = 587,754.75 × 587,754.75
  4. Step 4: Simplify right side
    389,992.13x = 345,455,646,147.56
  5. Step 5: Solve for x
    x = 345,455,646,147.56/389,992.13
  6. Step 6: Final answer
    x = 885,801.59

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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.