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Finding the Third Proportional to 80,512 and 105,897

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Solution

The third proportional to 80,512 and 105,897 is: 139,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,512 : 105,897 = 105,897 : x
  2. Step 2: Convert to fraction form
    80,512/105,897 = 105,897/x
  3. Step 3: Cross multiply
    80,512x = 105,897 × 105,897
  4. Step 4: Simplify right side
    80,512x = 11,214,174,609
  5. Step 5: Solve for x
    x = 11,214,174,609/80,512
  6. Step 6: Final answer
    x = 139,285.75

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.