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Finding the Third Proportional to 181,948.78 and 394,821.84

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Solution

The third proportional to 181,948.78 and 394,821.84 is: 856,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,948.78 : 394,821.84 = 394,821.84 : x
  2. Step 2: Convert to fraction form
    181,948.78/394,821.84 = 394,821.84/x
  3. Step 3: Cross multiply
    181,948.78x = 394,821.84 × 394,821.84
  4. Step 4: Simplify right side
    181,948.78x = 155,884,288,302.15
  5. Step 5: Solve for x
    x = 155,884,288,302.15/181,948.78
  6. Step 6: Final answer
    x = 856,748.19

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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.