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Finding the Third Proportional to 259,677.77 and 388,477.27

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Solution

The third proportional to 259,677.77 and 388,477.27 is: 581,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,677.77 : 388,477.27 = 388,477.27 : x
  2. Step 2: Convert to fraction form
    259,677.77/388,477.27 = 388,477.27/x
  3. Step 3: Cross multiply
    259,677.77x = 388,477.27 × 388,477.27
  4. Step 4: Simplify right side
    259,677.77x = 150,914,585,907.48
  5. Step 5: Solve for x
    x = 150,914,585,907.48/259,677.77
  6. Step 6: Final answer
    x = 581,160.97

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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.