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Finding the Third Proportional to 80,855 and 170,089

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Solution

The third proportional to 80,855 and 170,089 is: 357,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,855 : 170,089 = 170,089 : x
  2. Step 2: Convert to fraction form
    80,855/170,089 = 170,089/x
  3. Step 3: Cross multiply
    80,855x = 170,089 × 170,089
  4. Step 4: Simplify right side
    80,855x = 28,930,267,921
  5. Step 5: Solve for x
    x = 28,930,267,921/80,855
  6. Step 6: Final answer
    x = 357,804.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.