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Finding the Third Proportional to 73,870 and 110,779

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Solution

The third proportional to 73,870 and 110,779 is: 166,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,870 : 110,779 = 110,779 : x
  2. Step 2: Convert to fraction form
    73,870/110,779 = 110,779/x
  3. Step 3: Cross multiply
    73,870x = 110,779 × 110,779
  4. Step 4: Simplify right side
    73,870x = 12,271,986,841
  5. Step 5: Solve for x
    x = 12,271,986,841/73,870
  6. Step 6: Final answer
    x = 166,129.51

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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.