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Finding the Third Proportional to 181,553 and 398,944

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Solution

The third proportional to 181,553 and 398,944 is: 876,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,553 : 398,944 = 398,944 : x
  2. Step 2: Convert to fraction form
    181,553/398,944 = 398,944/x
  3. Step 3: Cross multiply
    181,553x = 398,944 × 398,944
  4. Step 4: Simplify right side
    181,553x = 159,156,315,136
  5. Step 5: Solve for x
    x = 159,156,315,136/181,553
  6. Step 6: Final answer
    x = 876,638.31

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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.