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Finding the Third Proportional to 260,238.05 and 388,191.08

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Solution

The third proportional to 260,238.05 and 388,191.08 is: 579,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,238.05 : 388,191.08 = 388,191.08 : x
  2. Step 2: Convert to fraction form
    260,238.05/388,191.08 = 388,191.08/x
  3. Step 3: Cross multiply
    260,238.05x = 388,191.08 × 388,191.08
  4. Step 4: Simplify right side
    260,238.05x = 150,692,311,619.47
  5. Step 5: Solve for x
    x = 150,692,311,619.47/260,238.05
  6. Step 6: Final answer
    x = 579,055.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.