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Finding the Third Proportional to 389,542 and 582,764

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Solution

The third proportional to 389,542 and 582,764 is: 871,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,542 : 582,764 = 582,764 : x
  2. Step 2: Convert to fraction form
    389,542/582,764 = 582,764/x
  3. Step 3: Cross multiply
    389,542x = 582,764 × 582,764
  4. Step 4: Simplify right side
    389,542x = 339,613,879,696
  5. Step 5: Solve for x
    x = 339,613,879,696/389,542
  6. Step 6: Final answer
    x = 871,828.66

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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.