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Finding the Third Proportional to 389,599.88 and 582,845.63

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Solution

The third proportional to 389,599.88 and 582,845.63 is: 871,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,599.88 : 582,845.63 = 582,845.63 : x
  2. Step 2: Convert to fraction form
    389,599.88/582,845.63 = 582,845.63/x
  3. Step 3: Cross multiply
    389,599.88x = 582,845.63 × 582,845.63
  4. Step 4: Simplify right side
    389,599.88x = 339,709,022,581.64
  5. Step 5: Solve for x
    x = 339,709,022,581.64/389,599.88
  6. Step 6: Final answer
    x = 871,943.36

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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.