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Finding the Third Proportional to 260,028 and 365,103

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Solution

The third proportional to 260,028 and 365,103 is: 512,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,028 : 365,103 = 365,103 : x
  2. Step 2: Convert to fraction form
    260,028/365,103 = 365,103/x
  3. Step 3: Cross multiply
    260,028x = 365,103 × 365,103
  4. Step 4: Simplify right side
    260,028x = 133,300,200,609
  5. Step 5: Solve for x
    x = 133,300,200,609/260,028
  6. Step 6: Final answer
    x = 512,637.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.