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Finding the Third Proportional to 259,668.87 and 388,465.34

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Solution

The third proportional to 259,668.87 and 388,465.34 is: 581,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,668.87 : 388,465.34 = 388,465.34 : x
  2. Step 2: Convert to fraction form
    259,668.87/388,465.34 = 388,465.34/x
  3. Step 3: Cross multiply
    259,668.87x = 388,465.34 × 388,465.34
  4. Step 4: Simplify right side
    259,668.87x = 150,905,321,208.34
  5. Step 5: Solve for x
    x = 150,905,321,208.34/259,668.87
  6. Step 6: Final answer
    x = 581,145.20

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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.