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Finding the Third Proportional to 388,906.69 and 583,370.44

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Solution

The third proportional to 388,906.69 and 583,370.44 is: 875,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,906.69 : 583,370.44 = 583,370.44 : x
  2. Step 2: Convert to fraction form
    388,906.69/583,370.44 = 583,370.44/x
  3. Step 3: Cross multiply
    388,906.69x = 583,370.44 × 583,370.44
  4. Step 4: Simplify right side
    388,906.69x = 340,321,067,348.94
  5. Step 5: Solve for x
    x = 340,321,067,348.94/388,906.69
  6. Step 6: Final answer
    x = 875,071.27

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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.