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Finding the Third Proportional to 154,202 and 320,716

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Solution

The third proportional to 154,202 and 320,716 is: 667,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,202 : 320,716 = 320,716 : x
  2. Step 2: Convert to fraction form
    154,202/320,716 = 320,716/x
  3. Step 3: Cross multiply
    154,202x = 320,716 × 320,716
  4. Step 4: Simplify right side
    154,202x = 102,858,752,656
  5. Step 5: Solve for x
    x = 102,858,752,656/154,202
  6. Step 6: Final answer
    x = 667,039.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.