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Finding the Third Proportional to 256,064 and 387,634

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Solution

The third proportional to 256,064 and 387,634 is: 586,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064 : 387,634 = 387,634 : x
  2. Step 2: Convert to fraction form
    256,064/387,634 = 387,634/x
  3. Step 3: Cross multiply
    256,064x = 387,634 × 387,634
  4. Step 4: Simplify right side
    256,064x = 150,260,117,956
  5. Step 5: Solve for x
    x = 150,260,117,956/256,064
  6. Step 6: Final answer
    x = 586,806.88

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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.