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Finding the Third Proportional to 181,136 and 398,128

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Solution

The third proportional to 181,136 and 398,128 is: 875,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,136 : 398,128 = 398,128 : x
  2. Step 2: Convert to fraction form
    181,136/398,128 = 398,128/x
  3. Step 3: Cross multiply
    181,136x = 398,128 × 398,128
  4. Step 4: Simplify right side
    181,136x = 158,505,904,384
  5. Step 5: Solve for x
    x = 158,505,904,384/181,136
  6. Step 6: Final answer
    x = 875,065.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.