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Finding the Third Proportional to 313,349 and 643,288

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Solution

The third proportional to 313,349 and 643,288 is: 1,320,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,349 : 643,288 = 643,288 : x
  2. Step 2: Convert to fraction form
    313,349/643,288 = 643,288/x
  3. Step 3: Cross multiply
    313,349x = 643,288 × 643,288
  4. Step 4: Simplify right side
    313,349x = 413,819,450,944
  5. Step 5: Solve for x
    x = 413,819,450,944/313,349
  6. Step 6: Final answer
    x = 1,320,634.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.