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Finding the Third Proportional to 311,656 and 673,141

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Solution

The third proportional to 311,656 and 673,141 is: 1,453,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,656 : 673,141 = 673,141 : x
  2. Step 2: Convert to fraction form
    311,656/673,141 = 673,141/x
  3. Step 3: Cross multiply
    311,656x = 673,141 × 673,141
  4. Step 4: Simplify right side
    311,656x = 453,118,805,881
  5. Step 5: Solve for x
    x = 453,118,805,881/311,656
  6. Step 6: Final answer
    x = 1,453,906.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.