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Finding the Third Proportional to 422,932 and 622,716

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Solution

The third proportional to 422,932 and 622,716 is: 916,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,932 : 622,716 = 622,716 : x
  2. Step 2: Convert to fraction form
    422,932/622,716 = 622,716/x
  3. Step 3: Cross multiply
    422,932x = 622,716 × 622,716
  4. Step 4: Simplify right side
    422,932x = 387,775,216,656
  5. Step 5: Solve for x
    x = 387,775,216,656/422,932
  6. Step 6: Final answer
    x = 916,873.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.