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Finding the Third Proportional to 430,991 and 682,118

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Solution

The third proportional to 430,991 and 682,118 is: 1,079,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,991 : 682,118 = 682,118 : x
  2. Step 2: Convert to fraction form
    430,991/682,118 = 682,118/x
  3. Step 3: Cross multiply
    430,991x = 682,118 × 682,118
  4. Step 4: Simplify right side
    430,991x = 465,284,965,924
  5. Step 5: Solve for x
    x = 465,284,965,924/430,991
  6. Step 6: Final answer
    x = 1,079,570.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.