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Finding the Third Proportional to 181,408 and 272,809

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Solution

The third proportional to 181,408 and 272,809 is: 410,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,408 : 272,809 = 272,809 : x
  2. Step 2: Convert to fraction form
    181,408/272,809 = 272,809/x
  3. Step 3: Cross multiply
    181,408x = 272,809 × 272,809
  4. Step 4: Simplify right side
    181,408x = 74,424,750,481
  5. Step 5: Solve for x
    x = 74,424,750,481/181,408
  6. Step 6: Final answer
    x = 410,261.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.