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Finding the Third Proportional to 181,044 and 378,612

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Solution

The third proportional to 181,044 and 378,612 is: 791,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,044 : 378,612 = 378,612 : x
  2. Step 2: Convert to fraction form
    181,044/378,612 = 378,612/x
  3. Step 3: Cross multiply
    181,044x = 378,612 × 378,612
  4. Step 4: Simplify right side
    181,044x = 143,347,046,544
  5. Step 5: Solve for x
    x = 143,347,046,544/181,044
  6. Step 6: Final answer
    x = 791,780.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.