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Finding the Third Proportional to 259,682 and 388,484

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Solution

The third proportional to 259,682 and 388,484 is: 581,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,682 : 388,484 = 388,484 : x
  2. Step 2: Convert to fraction form
    259,682/388,484 = 388,484/x
  3. Step 3: Cross multiply
    259,682x = 388,484 × 388,484
  4. Step 4: Simplify right side
    259,682x = 150,919,818,256
  5. Step 5: Solve for x
    x = 150,919,818,256/259,682
  6. Step 6: Final answer
    x = 581,171.66

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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.