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Finding the Third Proportional to 392,640 and 600,379.13

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Solution

The third proportional to 392,640 and 600,379.13 is: 918,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,640 : 600,379.13 = 600,379.13 : x
  2. Step 2: Convert to fraction form
    392,640/600,379.13 = 600,379.13/x
  3. Step 3: Cross multiply
    392,640x = 600,379.13 × 600,379.13
  4. Step 4: Simplify right side
    392,640x = 360,455,093,735.77
  5. Step 5: Solve for x
    x = 360,455,093,735.77/392,640
  6. Step 6: Final answer
    x = 918,029.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.