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Finding the Third Proportional to 259,704 and 389,556

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Solution

The third proportional to 259,704 and 389,556 is: 584,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,704 : 389,556 = 389,556 : x
  2. Step 2: Convert to fraction form
    259,704/389,556 = 389,556/x
  3. Step 3: Cross multiply
    259,704x = 389,556 × 389,556
  4. Step 4: Simplify right side
    259,704x = 151,753,877,136
  5. Step 5: Solve for x
    x = 151,753,877,136/259,704
  6. Step 6: Final answer
    x = 584,334

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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.