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Finding the Third Proportional to 203,903.58 and 315,081.77

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Solution

The third proportional to 203,903.58 and 315,081.77 is: 486,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,903.58 : 315,081.77 = 315,081.77 : x
  2. Step 2: Convert to fraction form
    203,903.58/315,081.77 = 315,081.77/x
  3. Step 3: Cross multiply
    203,903.58x = 315,081.77 × 315,081.77
  4. Step 4: Simplify right side
    203,903.58x = 99,276,523,952.52
  5. Step 5: Solve for x
    x = 99,276,523,952.52/203,903.58
  6. Step 6: Final answer
    x = 486,879.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.