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Finding the Third Proportional to 143,408 and 311,956

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Solution

The third proportional to 143,408 and 311,956 is: 678,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,408 : 311,956 = 311,956 : x
  2. Step 2: Convert to fraction form
    143,408/311,956 = 311,956/x
  3. Step 3: Cross multiply
    143,408x = 311,956 × 311,956
  4. Step 4: Simplify right side
    143,408x = 97,316,545,936
  5. Step 5: Solve for x
    x = 97,316,545,936/143,408
  6. Step 6: Final answer
    x = 678,599.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.