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Finding the Third Proportional to 258,639.75 and 378,118.13

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Solution

The third proportional to 258,639.75 and 378,118.13 is: 552,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,639.75 : 378,118.13 = 378,118.13 : x
  2. Step 2: Convert to fraction form
    258,639.75/378,118.13 = 378,118.13/x
  3. Step 3: Cross multiply
    258,639.75x = 378,118.13 × 378,118.13
  4. Step 4: Simplify right side
    258,639.75x = 142,973,316,453.52
  5. Step 5: Solve for x
    x = 142,973,316,453.52/258,639.75
  6. Step 6: Final answer
    x = 552,789.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.