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Finding the Third Proportional to 255,744 and 387,170

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Solution

The third proportional to 255,744 and 387,170 is: 586,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744 : 387,170 = 387,170 : x
  2. Step 2: Convert to fraction form
    255,744/387,170 = 387,170/x
  3. Step 3: Cross multiply
    255,744x = 387,170 × 387,170
  4. Step 4: Simplify right side
    255,744x = 149,900,608,900
  5. Step 5: Solve for x
    x = 149,900,608,900/255,744
  6. Step 6: Final answer
    x = 586,135.39

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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.