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Finding the Third Proportional to 140,880 and 309,408

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Solution

The third proportional to 140,880 and 309,408 is: 679,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,880 : 309,408 = 309,408 : x
  2. Step 2: Convert to fraction form
    140,880/309,408 = 309,408/x
  3. Step 3: Cross multiply
    140,880x = 309,408 × 309,408
  4. Step 4: Simplify right side
    140,880x = 95,733,310,464
  5. Step 5: Solve for x
    x = 95,733,310,464/140,880
  6. Step 6: Final answer
    x = 679,537.98

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