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Finding the Third Proportional to 255,912 and 387,393

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Solution

The third proportional to 255,912 and 387,393 is: 586,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,912 : 387,393 = 387,393 : x
  2. Step 2: Convert to fraction form
    255,912/387,393 = 387,393/x
  3. Step 3: Cross multiply
    255,912x = 387,393 × 387,393
  4. Step 4: Simplify right side
    255,912x = 150,073,336,449
  5. Step 5: Solve for x
    x = 150,073,336,449/255,912
  6. Step 6: Final answer
    x = 586,425.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.