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Finding the Third Proportional to 258,738.75 and 356,288.63

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Solution

The third proportional to 258,738.75 and 356,288.63 is: 490,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,738.75 : 356,288.63 = 356,288.63 : x
  2. Step 2: Convert to fraction form
    258,738.75/356,288.63 = 356,288.63/x
  3. Step 3: Cross multiply
    258,738.75x = 356,288.63 × 356,288.63
  4. Step 4: Simplify right side
    258,738.75x = 126,941,584,304.39
  5. Step 5: Solve for x
    x = 126,941,584,304.39/258,738.75
  6. Step 6: Final answer
    x = 490,616.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.