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Finding the Third Proportional to 143,676.75 and 312,246

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Solution

The third proportional to 143,676.75 and 312,246 is: 678,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,676.75 : 312,246 = 312,246 : x
  2. Step 2: Convert to fraction form
    143,676.75/312,246 = 312,246/x
  3. Step 3: Cross multiply
    143,676.75x = 312,246 × 312,246
  4. Step 4: Simplify right side
    143,676.75x = 97,497,564,516
  5. Step 5: Solve for x
    x = 97,497,564,516/143,676.75
  6. Step 6: Final answer
    x = 678,589.71

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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.