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Finding the Third Proportional to 181,440 and 394,038

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Solution

The third proportional to 181,440 and 394,038 is: 855,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,440 : 394,038 = 394,038 : x
  2. Step 2: Convert to fraction form
    181,440/394,038 = 394,038/x
  3. Step 3: Cross multiply
    181,440x = 394,038 × 394,038
  4. Step 4: Simplify right side
    181,440x = 155,265,945,444
  5. Step 5: Solve for x
    x = 155,265,945,444/181,440
  6. Step 6: Final answer
    x = 855,742.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.