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Finding the Third Proportional to 389,617.88 and 582,859.13

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Solution

The third proportional to 389,617.88 and 582,859.13 is: 871,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,617.88 : 582,859.13 = 582,859.13 : x
  2. Step 2: Convert to fraction form
    389,617.88/582,859.13 = 582,859.13/x
  3. Step 3: Cross multiply
    389,617.88x = 582,859.13 × 582,859.13
  4. Step 4: Simplify right side
    389,617.88x = 339,724,759,595.77
  5. Step 5: Solve for x
    x = 339,724,759,595.77/389,617.88
  6. Step 6: Final answer
    x = 871,943.46

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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.