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Finding the Third Proportional to 253,479.38 and 394,768.69

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Solution

The third proportional to 253,479.38 and 394,768.69 is: 614,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,479.38 : 394,768.69 = 394,768.69 : x
  2. Step 2: Convert to fraction form
    253,479.38/394,768.69 = 394,768.69/x
  3. Step 3: Cross multiply
    253,479.38x = 394,768.69 × 394,768.69
  4. Step 4: Simplify right side
    253,479.38x = 155,842,316,630.47
  5. Step 5: Solve for x
    x = 155,842,316,630.47/253,479.38
  6. Step 6: Final answer
    x = 614,812.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.