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Finding the Third Proportional to 258,508.13 and 388,035.56

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Solution

The third proportional to 258,508.13 and 388,035.56 is: 582,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,508.13 : 388,035.56 = 388,035.56 : x
  2. Step 2: Convert to fraction form
    258,508.13/388,035.56 = 388,035.56/x
  3. Step 3: Cross multiply
    258,508.13x = 388,035.56 × 388,035.56
  4. Step 4: Simplify right side
    258,508.13x = 150,571,597,764.69
  5. Step 5: Solve for x
    x = 150,571,597,764.69/258,508.13
  6. Step 6: Final answer
    x = 582,463.70

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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.