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Finding the Third Proportional to 255,748.50 and 387,177

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Solution

The third proportional to 255,748.50 and 387,177 is: 586,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,748.50 : 387,177 = 387,177 : x
  2. Step 2: Convert to fraction form
    255,748.50/387,177 = 387,177/x
  3. Step 3: Cross multiply
    255,748.50x = 387,177 × 387,177
  4. Step 4: Simplify right side
    255,748.50x = 149,906,029,329
  5. Step 5: Solve for x
    x = 149,906,029,329/255,748.50
  6. Step 6: Final answer
    x = 586,146.27

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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.