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Finding the Third Proportional to 389,836.75 and 583,168.50

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Solution

The third proportional to 389,836.75 and 583,168.50 is: 872,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,836.75 : 583,168.50 = 583,168.50 : x
  2. Step 2: Convert to fraction form
    389,836.75/583,168.50 = 583,168.50/x
  3. Step 3: Cross multiply
    389,836.75x = 583,168.50 × 583,168.50
  4. Step 4: Simplify right side
    389,836.75x = 340,085,499,392.25
  5. Step 5: Solve for x
    x = 340,085,499,392.25/389,836.75
  6. Step 6: Final answer
    x = 872,379.27

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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.