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Finding the Third Proportional to 258,531.75 and 372,357

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Solution

The third proportional to 258,531.75 and 372,357 is: 536,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,531.75 : 372,357 = 372,357 : x
  2. Step 2: Convert to fraction form
    258,531.75/372,357 = 372,357/x
  3. Step 3: Cross multiply
    258,531.75x = 372,357 × 372,357
  4. Step 4: Simplify right side
    258,531.75x = 138,649,735,449
  5. Step 5: Solve for x
    x = 138,649,735,449/258,531.75
  6. Step 6: Final answer
    x = 536,296.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.