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Finding the Third Proportional to 257,688 and 394,218

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Solution

The third proportional to 257,688 and 394,218 is: 603,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,688 : 394,218 = 394,218 : x
  2. Step 2: Convert to fraction form
    257,688/394,218 = 394,218/x
  3. Step 3: Cross multiply
    257,688x = 394,218 × 394,218
  4. Step 4: Simplify right side
    257,688x = 155,407,831,524
  5. Step 5: Solve for x
    x = 155,407,831,524/257,688
  6. Step 6: Final answer
    x = 603,085.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.