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Finding the Third Proportional to 173,782 and 380,779

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Solution

The third proportional to 173,782 and 380,779 is: 834,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,782 : 380,779 = 380,779 : x
  2. Step 2: Convert to fraction form
    173,782/380,779 = 380,779/x
  3. Step 3: Cross multiply
    173,782x = 380,779 × 380,779
  4. Step 4: Simplify right side
    173,782x = 144,992,646,841
  5. Step 5: Solve for x
    x = 144,992,646,841/173,782
  6. Step 6: Final answer
    x = 834,336.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.