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Finding the Third Proportional to 312,067 and 456,991

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Solution

The third proportional to 312,067 and 456,991 is: 669,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,067 : 456,991 = 456,991 : x
  2. Step 2: Convert to fraction form
    312,067/456,991 = 456,991/x
  3. Step 3: Cross multiply
    312,067x = 456,991 × 456,991
  4. Step 4: Simplify right side
    312,067x = 208,840,774,081
  5. Step 5: Solve for x
    x = 208,840,774,081/312,067
  6. Step 6: Final answer
    x = 669,217.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.