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Finding the Third Proportional to 259,876 and 388,752

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Solution

The third proportional to 259,876 and 388,752 is: 581,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,876 : 388,752 = 388,752 : x
  2. Step 2: Convert to fraction form
    259,876/388,752 = 388,752/x
  3. Step 3: Cross multiply
    259,876x = 388,752 × 388,752
  4. Step 4: Simplify right side
    259,876x = 151,128,117,504
  5. Step 5: Solve for x
    x = 151,128,117,504/259,876
  6. Step 6: Final answer
    x = 581,539.34

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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.