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Finding the Third Proportional to 179,919 and 264,040

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Solution

The third proportional to 179,919 and 264,040 is: 387,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,919 : 264,040 = 264,040 : x
  2. Step 2: Convert to fraction form
    179,919/264,040 = 264,040/x
  3. Step 3: Cross multiply
    179,919x = 264,040 × 264,040
  4. Step 4: Simplify right side
    179,919x = 69,717,121,600
  5. Step 5: Solve for x
    x = 69,717,121,600/179,919
  6. Step 6: Final answer
    x = 387,491.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.