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Finding the Third Proportional to 143,682 and 312,233

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Solution

The third proportional to 143,682 and 312,233 is: 678,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,682 : 312,233 = 312,233 : x
  2. Step 2: Convert to fraction form
    143,682/312,233 = 312,233/x
  3. Step 3: Cross multiply
    143,682x = 312,233 × 312,233
  4. Step 4: Simplify right side
    143,682x = 97,489,446,289
  5. Step 5: Solve for x
    x = 97,489,446,289/143,682
  6. Step 6: Final answer
    x = 678,508.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.