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Finding the Third Proportional to 174,512 and 276,779

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Solution

The third proportional to 174,512 and 276,779 is: 438,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,512 : 276,779 = 276,779 : x
  2. Step 2: Convert to fraction form
    174,512/276,779 = 276,779/x
  3. Step 3: Cross multiply
    174,512x = 276,779 × 276,779
  4. Step 4: Simplify right side
    174,512x = 76,606,614,841
  5. Step 5: Solve for x
    x = 76,606,614,841/174,512
  6. Step 6: Final answer
    x = 438,976.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.