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Finding the Third Proportional to 108,069 and 173,637

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Solution

The third proportional to 108,069 and 173,637 is: 278,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,069 : 173,637 = 173,637 : x
  2. Step 2: Convert to fraction form
    108,069/173,637 = 173,637/x
  3. Step 3: Cross multiply
    108,069x = 173,637 × 173,637
  4. Step 4: Simplify right side
    108,069x = 30,149,807,769
  5. Step 5: Solve for x
    x = 30,149,807,769/108,069
  6. Step 6: Final answer
    x = 278,986.65

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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.