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Finding the Third Proportional to 30,918 and 49,779

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Solution

The third proportional to 30,918 and 49,779 is: 80,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918 : 49,779 = 49,779 : x
  2. Step 2: Convert to fraction form
    30,918/49,779 = 49,779/x
  3. Step 3: Cross multiply
    30,918x = 49,779 × 49,779
  4. Step 4: Simplify right side
    30,918x = 2,477,948,841
  5. Step 5: Solve for x
    x = 2,477,948,841/30,918
  6. Step 6: Final answer
    x = 80,145.83

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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.