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Finding the Third Proportional to 259,852.22 and 388,719

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Solution

The third proportional to 259,852.22 and 388,719 is: 581,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,852.22 : 388,719 = 388,719 : x
  2. Step 2: Convert to fraction form
    259,852.22/388,719 = 388,719/x
  3. Step 3: Cross multiply
    259,852.22x = 388,719 × 388,719
  4. Step 4: Simplify right side
    259,852.22x = 151,102,460,961
  5. Step 5: Solve for x
    x = 151,102,460,961/259,852.22
  6. Step 6: Final answer
    x = 581,493.83

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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.