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Finding the Third Proportional to 76,898 and 103,467

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Solution

The third proportional to 76,898 and 103,467 is: 139,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,898 : 103,467 = 103,467 : x
  2. Step 2: Convert to fraction form
    76,898/103,467 = 103,467/x
  3. Step 3: Cross multiply
    76,898x = 103,467 × 103,467
  4. Step 4: Simplify right side
    76,898x = 10,705,420,089
  5. Step 5: Solve for x
    x = 10,705,420,089/76,898
  6. Step 6: Final answer
    x = 139,215.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.