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Finding the Third Proportional to 49,682 and 79,779

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Solution

The third proportional to 49,682 and 79,779 is: 128,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682 : 79,779 = 79,779 : x
  2. Step 2: Convert to fraction form
    49,682/79,779 = 79,779/x
  3. Step 3: Cross multiply
    49,682x = 79,779 × 79,779
  4. Step 4: Simplify right side
    49,682x = 6,364,688,841
  5. Step 5: Solve for x
    x = 6,364,688,841/49,682
  6. Step 6: Final answer
    x = 128,108.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.