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Finding the Third Proportional to 255,634 and 395,415

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Solution

The third proportional to 255,634 and 395,415 is: 611,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,634 : 395,415 = 395,415 : x
  2. Step 2: Convert to fraction form
    255,634/395,415 = 395,415/x
  3. Step 3: Cross multiply
    255,634x = 395,415 × 395,415
  4. Step 4: Simplify right side
    255,634x = 156,353,022,225
  5. Step 5: Solve for x
    x = 156,353,022,225/255,634
  6. Step 6: Final answer
    x = 611,628.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.