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Finding the Third Proportional to 258,944 and 387,336

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Solution

The third proportional to 258,944 and 387,336 is: 579,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,944 : 387,336 = 387,336 : x
  2. Step 2: Convert to fraction form
    258,944/387,336 = 387,336/x
  3. Step 3: Cross multiply
    258,944x = 387,336 × 387,336
  4. Step 4: Simplify right side
    258,944x = 150,029,176,896
  5. Step 5: Solve for x
    x = 150,029,176,896/258,944
  6. Step 6: Final answer
    x = 579,388.50

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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.