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Finding the Third Proportional to 74,284 and 111,779

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Solution

The third proportional to 74,284 and 111,779 is: 168,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,284 : 111,779 = 111,779 : x
  2. Step 2: Convert to fraction form
    74,284/111,779 = 111,779/x
  3. Step 3: Cross multiply
    74,284x = 111,779 × 111,779
  4. Step 4: Simplify right side
    74,284x = 12,494,544,841
  5. Step 5: Solve for x
    x = 12,494,544,841/74,284
  6. Step 6: Final answer
    x = 168,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.