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Finding the Third Proportional to 256,076 and 387,652

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Solution

The third proportional to 256,076 and 387,652 is: 586,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076 : 387,652 = 387,652 : x
  2. Step 2: Convert to fraction form
    256,076/387,652 = 387,652/x
  3. Step 3: Cross multiply
    256,076x = 387,652 × 387,652
  4. Step 4: Simplify right side
    256,076x = 150,274,073,104
  5. Step 5: Solve for x
    x = 150,274,073,104/256,076
  6. Step 6: Final answer
    x = 586,833.88

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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.