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Finding the Third Proportional to 256,054 and 387,617

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Solution

The third proportional to 256,054 and 387,617 is: 586,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,054 : 387,617 = 387,617 : x
  2. Step 2: Convert to fraction form
    256,054/387,617 = 387,617/x
  3. Step 3: Cross multiply
    256,054x = 387,617 × 387,617
  4. Step 4: Simplify right side
    256,054x = 150,246,938,689
  5. Step 5: Solve for x
    x = 150,246,938,689/256,054
  6. Step 6: Final answer
    x = 586,778.33

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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.