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Finding the Third Proportional to 256,826 and 394,959

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Solution

The third proportional to 256,826 and 394,959 is: 607,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,826 : 394,959 = 394,959 : x
  2. Step 2: Convert to fraction form
    256,826/394,959 = 394,959/x
  3. Step 3: Cross multiply
    256,826x = 394,959 × 394,959
  4. Step 4: Simplify right side
    256,826x = 155,992,611,681
  5. Step 5: Solve for x
    x = 155,992,611,681/256,826
  6. Step 6: Final answer
    x = 607,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.