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Finding the Third Proportional to 256,263.43 and 394,428.87

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Solution

The third proportional to 256,263.43 and 394,428.87 is: 607,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,263.43 : 394,428.87 = 394,428.87 : x
  2. Step 2: Convert to fraction form
    256,263.43/394,428.87 = 394,428.87/x
  3. Step 3: Cross multiply
    256,263.43x = 394,428.87 × 394,428.87
  4. Step 4: Simplify right side
    256,263.43x = 155,574,131,270.82
  5. Step 5: Solve for x
    x = 155,574,131,270.82/256,263.43
  6. Step 6: Final answer
    x = 607,086.74

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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.