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Finding the Third Proportional to 256,056 and 387,621

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Solution

The third proportional to 256,056 and 387,621 is: 586,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,056 : 387,621 = 387,621 : x
  2. Step 2: Convert to fraction form
    256,056/387,621 = 387,621/x
  3. Step 3: Cross multiply
    256,056x = 387,621 × 387,621
  4. Step 4: Simplify right side
    256,056x = 150,250,039,641
  5. Step 5: Solve for x
    x = 150,250,039,641/256,056
  6. Step 6: Final answer
    x = 586,785.86

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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.