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Finding the Third Proportional to 260,676 and 389,862

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Solution

The third proportional to 260,676 and 389,862 is: 583,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,676 : 389,862 = 389,862 : x
  2. Step 2: Convert to fraction form
    260,676/389,862 = 389,862/x
  3. Step 3: Cross multiply
    260,676x = 389,862 × 389,862
  4. Step 4: Simplify right side
    260,676x = 151,992,379,044
  5. Step 5: Solve for x
    x = 151,992,379,044/260,676
  6. Step 6: Final answer
    x = 583,070.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.