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Finding the Third Proportional to 89,143 and 195,779

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Solution

The third proportional to 89,143 and 195,779 is: 429,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,143 : 195,779 = 195,779 : x
  2. Step 2: Convert to fraction form
    89,143/195,779 = 195,779/x
  3. Step 3: Cross multiply
    89,143x = 195,779 × 195,779
  4. Step 4: Simplify right side
    89,143x = 38,329,416,841
  5. Step 5: Solve for x
    x = 38,329,416,841/89,143
  6. Step 6: Final answer
    x = 429,976.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.